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Simplifying -6(x + -12) + 3(x + 3) = x + 3 Reorder the terms: -6(-12 + x) + 3(x + 3) = x + 3 (-12 * -6 + x * -6) + 3(x + 3) = x + 3 (72 + -6x) + 3(x + 3) = x + 3 Reorder the terms: 72 + -6x + 3(3 + x) = x + 3 72 + -6x + (3 * 3 + x * 3) = x + 3 72 + -6x + (9 + 3x) = x + 3 Reorder the terms: 72 + 9 + -6x + 3x = x + 3 Combine like terms: 72 + 9 = 81 81 + -6x + 3x = x + 3 Combine like terms: -6x + 3x = -3x 81 + -3x = x + 3 Reorder the terms: 81 + -3x = 3 + x Solving 81 + -3x = 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. 81 + -3x + -1x = 3 + x + -1x Combine like terms: -3x + -1x = -4x 81 + -4x = 3 + x + -1x Combine like terms: x + -1x = 0 81 + -4x = 3 + 0 81 + -4x = 3 Add '-81' to each side of the equation. 81 + -81 + -4x = 3 + -81 Combine like terms: 81 + -81 = 0 0 + -4x = 3 + -81 -4x = 3 + -81 Combine like terms: 3 + -81 = -78 -4x = -78 Divide each side by '-4'. x = 19.5 Simplifying x = 19.5
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