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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 = 3x -12 + 3x = 5(-17 + 3x) -12 + 3x = (-17 * 5 + 3x * 5) -12 + 3x = (-85 + 15x) Solving -12 + 3x = -85 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 3x + -15x = -85 + 15x + -15x Combine like terms: 3x + -15x = -12x -12 + -12x = -85 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -12x = -85 + 0 -12 + -12x = -85 Add '12' to each side of the equation. -12 + 12 + -12x = -85 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = -85 + 12 -12x = -85 + 12 Combine like terms: -85 + 12 = -73 -12x = -73 Divide each side by '-12'. x = 6.083333333 Simplifying x = 6.083333333
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