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Simplifying 9x + -2(3x + 5) = 4(7 + -3x) + -53 Reorder the terms: 9x + -2(5 + 3x) = 4(7 + -3x) + -53 9x + (5 * -2 + 3x * -2) = 4(7 + -3x) + -53 9x + (-10 + -6x) = 4(7 + -3x) + -53 Reorder the terms: -10 + 9x + -6x = 4(7 + -3x) + -53 Combine like terms: 9x + -6x = 3x -10 + 3x = 4(7 + -3x) + -53 -10 + 3x = (7 * 4 + -3x * 4) + -53 -10 + 3x = (28 + -12x) + -53 Reorder the terms: -10 + 3x = 28 + -53 + -12x Combine like terms: 28 + -53 = -25 -10 + 3x = -25 + -12x Solving -10 + 3x = -25 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + 3x + 12x = -25 + -12x + 12x Combine like terms: 3x + 12x = 15x -10 + 15x = -25 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 15x = -25 + 0 -10 + 15x = -25 Add '10' to each side of the equation. -10 + 10 + 15x = -25 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -25 + 10 15x = -25 + 10 Combine like terms: -25 + 10 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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