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Simplifying 15 + 2(x + -3) + -12 = 5 + -3(x + 7) Reorder the terms: 15 + 2(-3 + x) + -12 = 5 + -3(x + 7) 15 + (-3 * 2 + x * 2) + -12 = 5 + -3(x + 7) 15 + (-6 + 2x) + -12 = 5 + -3(x + 7) Reorder the terms: 15 + -6 + -12 + 2x = 5 + -3(x + 7) Combine like terms: 15 + -6 = 9 9 + -12 + 2x = 5 + -3(x + 7) Combine like terms: 9 + -12 = -3 -3 + 2x = 5 + -3(x + 7) Reorder the terms: -3 + 2x = 5 + -3(7 + x) -3 + 2x = 5 + (7 * -3 + x * -3) -3 + 2x = 5 + (-21 + -3x) Combine like terms: 5 + -21 = -16 -3 + 2x = -16 + -3x Solving -3 + 2x = -16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 2x + 3x = -16 + -3x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = -16 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 5x = -16 + 0 -3 + 5x = -16 Add '3' to each side of the equation. -3 + 3 + 5x = -16 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -16 + 3 5x = -16 + 3 Combine like terms: -16 + 3 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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