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Simplifying -6(x + -18) + 3(x + 2) = x + -48 Reorder the terms: -6(-18 + x) + 3(x + 2) = x + -48 (-18 * -6 + x * -6) + 3(x + 2) = x + -48 (108 + -6x) + 3(x + 2) = x + -48 Reorder the terms: 108 + -6x + 3(2 + x) = x + -48 108 + -6x + (2 * 3 + x * 3) = x + -48 108 + -6x + (6 + 3x) = x + -48 Reorder the terms: 108 + 6 + -6x + 3x = x + -48 Combine like terms: 108 + 6 = 114 114 + -6x + 3x = x + -48 Combine like terms: -6x + 3x = -3x 114 + -3x = x + -48 Reorder the terms: 114 + -3x = -48 + x Solving 114 + -3x = -48 + 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. 114 + -3x + -1x = -48 + x + -1x Combine like terms: -3x + -1x = -4x 114 + -4x = -48 + x + -1x Combine like terms: x + -1x = 0 114 + -4x = -48 + 0 114 + -4x = -48 Add '-114' to each side of the equation. 114 + -114 + -4x = -48 + -114 Combine like terms: 114 + -114 = 0 0 + -4x = -48 + -114 -4x = -48 + -114 Combine like terms: -48 + -114 = -162 -4x = -162 Divide each side by '-4'. x = 40.5 Simplifying x = 40.5
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