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Simplifying -1(x + -3) + 3x + -10 = -12 + -3(x + 5) Reorder the terms: -1(-3 + x) + 3x + -10 = -12 + -3(x + 5) (-3 * -1 + x * -1) + 3x + -10 = -12 + -3(x + 5) (3 + -1x) + 3x + -10 = -12 + -3(x + 5) Reorder the terms: 3 + -10 + -1x + 3x = -12 + -3(x + 5) Combine like terms: 3 + -10 = -7 -7 + -1x + 3x = -12 + -3(x + 5) Combine like terms: -1x + 3x = 2x -7 + 2x = -12 + -3(x + 5) Reorder the terms: -7 + 2x = -12 + -3(5 + x) -7 + 2x = -12 + (5 * -3 + x * -3) -7 + 2x = -12 + (-15 + -3x) Combine like terms: -12 + -15 = -27 -7 + 2x = -27 + -3x Solving -7 + 2x = -27 + -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. -7 + 2x + 3x = -27 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = -27 + 0 -7 + 5x = -27 Add '7' to each side of the equation. -7 + 7 + 5x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -27 + 7 5x = -27 + 7 Combine like terms: -27 + 7 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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