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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 = 4 -12 + 3x = 5(4 + -7 + x + -2x) Combine like terms: 4 + -7 = -3 -12 + 3x = 5(-3 + x + -2x) Combine like terms: x + -2x = -1x -12 + 3x = 5(-3 + -1x) -12 + 3x = (-3 * 5 + -1x * 5) -12 + 3x = (-15 + -5x) Solving -12 + 3x = -15 + -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 = -15 + -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = -15 + 0 -12 + 8x = -15 Add '12' to each side of the equation. -12 + 12 + 8x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -15 + 12 8x = -15 + 12 Combine like terms: -15 + 12 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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