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Simplifying -2(x + -18) + 4(x + 3) = x + -6 Reorder the terms: -2(-18 + x) + 4(x + 3) = x + -6 (-18 * -2 + x * -2) + 4(x + 3) = x + -6 (36 + -2x) + 4(x + 3) = x + -6 Reorder the terms: 36 + -2x + 4(3 + x) = x + -6 36 + -2x + (3 * 4 + x * 4) = x + -6 36 + -2x + (12 + 4x) = x + -6 Reorder the terms: 36 + 12 + -2x + 4x = x + -6 Combine like terms: 36 + 12 = 48 48 + -2x + 4x = x + -6 Combine like terms: -2x + 4x = 2x 48 + 2x = x + -6 Reorder the terms: 48 + 2x = -6 + x Solving 48 + 2x = -6 + 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. 48 + 2x + -1x = -6 + x + -1x Combine like terms: 2x + -1x = 1x 48 + 1x = -6 + x + -1x Combine like terms: x + -1x = 0 48 + 1x = -6 + 0 48 + 1x = -6 Add '-48' to each side of the equation. 48 + -48 + 1x = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = -6 + -48 1x = -6 + -48 Combine like terms: -6 + -48 = -54 1x = -54 Divide each side by '1'. x = -54 Simplifying x = -54
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