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Simplifying -6(x + -12) + 2(x + -2) = x + 3 Reorder the terms: -6(-12 + x) + 2(x + -2) = x + 3 (-12 * -6 + x * -6) + 2(x + -2) = x + 3 (72 + -6x) + 2(x + -2) = x + 3 Reorder the terms: 72 + -6x + 2(-2 + x) = x + 3 72 + -6x + (-2 * 2 + x * 2) = x + 3 72 + -6x + (-4 + 2x) = x + 3 Reorder the terms: 72 + -4 + -6x + 2x = x + 3 Combine like terms: 72 + -4 = 68 68 + -6x + 2x = x + 3 Combine like terms: -6x + 2x = -4x 68 + -4x = x + 3 Reorder the terms: 68 + -4x = 3 + x Solving 68 + -4x = 3 + x 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. 68 + -4x + -1x = 3 + x + -1x Combine like terms: -4x + -1x = -5x 68 + -5x = 3 + x + -1x Combine like terms: x + -1x = 0 68 + -5x = 3 + 0 68 + -5x = 3 Add '-68' to each side of the equation. 68 + -68 + -5x = 3 + -68 Combine like terms: 68 + -68 = 0 0 + -5x = 3 + -68 -5x = 3 + -68 Combine like terms: 3 + -68 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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