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Simplifying 5(3x + 4) + -3x + -7 = 5(2x + -5) + -4(3x + -2) Reorder the terms: 5(4 + 3x) + -3x + -7 = 5(2x + -5) + -4(3x + -2) (4 * 5 + 3x * 5) + -3x + -7 = 5(2x + -5) + -4(3x + -2) (20 + 15x) + -3x + -7 = 5(2x + -5) + -4(3x + -2) Reorder the terms: 20 + -7 + 15x + -3x = 5(2x + -5) + -4(3x + -2) Combine like terms: 20 + -7 = 13 13 + 15x + -3x = 5(2x + -5) + -4(3x + -2) Combine like terms: 15x + -3x = 12x 13 + 12x = 5(2x + -5) + -4(3x + -2) Reorder the terms: 13 + 12x = 5(-5 + 2x) + -4(3x + -2) 13 + 12x = (-5 * 5 + 2x * 5) + -4(3x + -2) 13 + 12x = (-25 + 10x) + -4(3x + -2) Reorder the terms: 13 + 12x = -25 + 10x + -4(-2 + 3x) 13 + 12x = -25 + 10x + (-2 * -4 + 3x * -4) 13 + 12x = -25 + 10x + (8 + -12x) Reorder the terms: 13 + 12x = -25 + 8 + 10x + -12x Combine like terms: -25 + 8 = -17 13 + 12x = -17 + 10x + -12x Combine like terms: 10x + -12x = -2x 13 + 12x = -17 + -2x Solving 13 + 12x = -17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 12x + 2x = -17 + -2x + 2x Combine like terms: 12x + 2x = 14x 13 + 14x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 14x = -17 + 0 13 + 14x = -17 Add '-13' to each side of the equation. 13 + -13 + 14x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 14x = -17 + -13 14x = -17 + -13 Combine like terms: -17 + -13 = -30 14x = -30 Divide each side by '14'. x = -2.142857143 Simplifying x = -2.142857143
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