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Simplifying 3x + -12 = 5(x + -3 + -7 + -2x + -7) Reorder the terms: -12 + 3x = 5(x + -3 + -7 + -2x + -7) Reorder the terms: -12 + 3x = 5(-3 + -7 + -7 + x + -2x) Combine like terms: -3 + -7 = -10 -12 + 3x = 5(-10 + -7 + x + -2x) Combine like terms: -10 + -7 = -17 -12 + 3x = 5(-17 + x + -2x) Combine like terms: x + -2x = -1x -12 + 3x = 5(-17 + -1x) -12 + 3x = (-17 * 5 + -1x * 5) -12 + 3x = (-85 + -5x) Solving -12 + 3x = -85 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 3x + 5x = -85 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = -85 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = -85 + 0 -12 + 8x = -85 Add '12' to each side of the equation. -12 + 12 + 8x = -85 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -85 + 12 8x = -85 + 12 Combine like terms: -85 + 12 = -73 8x = -73 Divide each side by '8'. x = -9.125 Simplifying x = -9.125
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