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Simplifying 4(8 + -1x) + -12 = 7x + -6(x + -2) + -2 (8 * 4 + -1x * 4) + -12 = 7x + -6(x + -2) + -2 (32 + -4x) + -12 = 7x + -6(x + -2) + -2 Reorder the terms: 32 + -12 + -4x = 7x + -6(x + -2) + -2 Combine like terms: 32 + -12 = 20 20 + -4x = 7x + -6(x + -2) + -2 Reorder the terms: 20 + -4x = 7x + -6(-2 + x) + -2 20 + -4x = 7x + (-2 * -6 + x * -6) + -2 20 + -4x = 7x + (12 + -6x) + -2 Reorder the terms: 20 + -4x = 12 + -2 + 7x + -6x Combine like terms: 12 + -2 = 10 20 + -4x = 10 + 7x + -6x Combine like terms: 7x + -6x = 1x 20 + -4x = 10 + 1x Solving 20 + -4x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + -4x + -1x = 10 + 1x + -1x Combine like terms: -4x + -1x = -5x 20 + -5x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + -5x = 10 + 0 20 + -5x = 10 Add '-20' to each side of the equation. 20 + -20 + -5x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 10 + -20 -5x = 10 + -20 Combine like terms: 10 + -20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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