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Simplifying -3(x + 5) + 2 = 4(x + 6) + -9 Reorder the terms: -3(5 + x) + 2 = 4(x + 6) + -9 (5 * -3 + x * -3) + 2 = 4(x + 6) + -9 (-15 + -3x) + 2 = 4(x + 6) + -9 Reorder the terms: -15 + 2 + -3x = 4(x + 6) + -9 Combine like terms: -15 + 2 = -13 -13 + -3x = 4(x + 6) + -9 Reorder the terms: -13 + -3x = 4(6 + x) + -9 -13 + -3x = (6 * 4 + x * 4) + -9 -13 + -3x = (24 + 4x) + -9 Reorder the terms: -13 + -3x = 24 + -9 + 4x Combine like terms: 24 + -9 = 15 -13 + -3x = 15 + 4x Solving -13 + -3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x -13 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -7x = 15 + 0 -13 + -7x = 15 Add '13' to each side of the equation. -13 + 13 + -7x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 15 + 13 -7x = 15 + 13 Combine like terms: 15 + 13 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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