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Simplifying -1(x + -12) + 3(x + 3) = 6x + 18 Reorder the terms: -1(-12 + x) + 3(x + 3) = 6x + 18 (-12 * -1 + x * -1) + 3(x + 3) = 6x + 18 (12 + -1x) + 3(x + 3) = 6x + 18 Reorder the terms: 12 + -1x + 3(3 + x) = 6x + 18 12 + -1x + (3 * 3 + x * 3) = 6x + 18 12 + -1x + (9 + 3x) = 6x + 18 Reorder the terms: 12 + 9 + -1x + 3x = 6x + 18 Combine like terms: 12 + 9 = 21 21 + -1x + 3x = 6x + 18 Combine like terms: -1x + 3x = 2x 21 + 2x = 6x + 18 Reorder the terms: 21 + 2x = 18 + 6x Solving 21 + 2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 21 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -4x = 18 + 0 21 + -4x = 18 Add '-21' to each side of the equation. 21 + -21 + -4x = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 18 + -21 -4x = 18 + -21 Combine like terms: 18 + -21 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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