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Simplifying -2(x + -18) + 6(x + 2) = x + 16 Reorder the terms: -2(-18 + x) + 6(x + 2) = x + 16 (-18 * -2 + x * -2) + 6(x + 2) = x + 16 (36 + -2x) + 6(x + 2) = x + 16 Reorder the terms: 36 + -2x + 6(2 + x) = x + 16 36 + -2x + (2 * 6 + x * 6) = x + 16 36 + -2x + (12 + 6x) = x + 16 Reorder the terms: 36 + 12 + -2x + 6x = x + 16 Combine like terms: 36 + 12 = 48 48 + -2x + 6x = x + 16 Combine like terms: -2x + 6x = 4x 48 + 4x = x + 16 Reorder the terms: 48 + 4x = 16 + x Solving 48 + 4x = 16 + 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 + 4x + -1x = 16 + x + -1x Combine like terms: 4x + -1x = 3x 48 + 3x = 16 + x + -1x Combine like terms: x + -1x = 0 48 + 3x = 16 + 0 48 + 3x = 16 Add '-48' to each side of the equation. 48 + -48 + 3x = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 3x = 16 + -48 3x = 16 + -48 Combine like terms: 16 + -48 = -32 3x = -32 Divide each side by '3'. x = -10.66666667 Simplifying x = -10.66666667
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