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Simplifying 12x + 5(3x + -5) + 6(3x + -2) = 10(9x + -7) + 2(4x + -5) Reorder the terms: 12x + 5(-5 + 3x) + 6(3x + -2) = 10(9x + -7) + 2(4x + -5) 12x + (-5 * 5 + 3x * 5) + 6(3x + -2) = 10(9x + -7) + 2(4x + -5) 12x + (-25 + 15x) + 6(3x + -2) = 10(9x + -7) + 2(4x + -5) Reorder the terms: 12x + -25 + 15x + 6(-2 + 3x) = 10(9x + -7) + 2(4x + -5) 12x + -25 + 15x + (-2 * 6 + 3x * 6) = 10(9x + -7) + 2(4x + -5) 12x + -25 + 15x + (-12 + 18x) = 10(9x + -7) + 2(4x + -5) Reorder the terms: -25 + -12 + 12x + 15x + 18x = 10(9x + -7) + 2(4x + -5) Combine like terms: -25 + -12 = -37 -37 + 12x + 15x + 18x = 10(9x + -7) + 2(4x + -5) Combine like terms: 12x + 15x = 27x -37 + 27x + 18x = 10(9x + -7) + 2(4x + -5) Combine like terms: 27x + 18x = 45x -37 + 45x = 10(9x + -7) + 2(4x + -5) Reorder the terms: -37 + 45x = 10(-7 + 9x) + 2(4x + -5) -37 + 45x = (-7 * 10 + 9x * 10) + 2(4x + -5) -37 + 45x = (-70 + 90x) + 2(4x + -5) Reorder the terms: -37 + 45x = -70 + 90x + 2(-5 + 4x) -37 + 45x = -70 + 90x + (-5 * 2 + 4x * 2) -37 + 45x = -70 + 90x + (-10 + 8x) Reorder the terms: -37 + 45x = -70 + -10 + 90x + 8x Combine like terms: -70 + -10 = -80 -37 + 45x = -80 + 90x + 8x Combine like terms: 90x + 8x = 98x -37 + 45x = -80 + 98x Solving -37 + 45x = -80 + 98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98x' to each side of the equation. -37 + 45x + -98x = -80 + 98x + -98x Combine like terms: 45x + -98x = -53x -37 + -53x = -80 + 98x + -98x Combine like terms: 98x + -98x = 0 -37 + -53x = -80 + 0 -37 + -53x = -80 Add '37' to each side of the equation. -37 + 37 + -53x = -80 + 37 Combine like terms: -37 + 37 = 0 0 + -53x = -80 + 37 -53x = -80 + 37 Combine like terms: -80 + 37 = -43 -53x = -43 Divide each side by '-53'. x = 0.8113207547 Simplifying x = 0.8113207547
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