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Simplifying 1(x + -18) + 2(x + 3) = (x + -26) * 6 Reorder the terms: 1(-18 + x) + 2(x + 3) = (x + -26) * 6 (-18 * 1 + x * 1) + 2(x + 3) = (x + -26) * 6 (-18 + 1x) + 2(x + 3) = (x + -26) * 6 Reorder the terms: -18 + 1x + 2(3 + x) = (x + -26) * 6 -18 + 1x + (3 * 2 + x * 2) = (x + -26) * 6 -18 + 1x + (6 + 2x) = (x + -26) * 6 Reorder the terms: -18 + 6 + 1x + 2x = (x + -26) * 6 Combine like terms: -18 + 6 = -12 -12 + 1x + 2x = (x + -26) * 6 Combine like terms: 1x + 2x = 3x -12 + 3x = (x + -26) * 6 Reorder the terms: -12 + 3x = (-26 + x) * 6 Reorder the terms for easier multiplication: -12 + 3x = 6(-26 + x) -12 + 3x = (-26 * 6 + x * 6) -12 + 3x = (-156 + 6x) Solving -12 + 3x = -156 + 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. -12 + 3x + -6x = -156 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = -156 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = -156 + 0 -12 + -3x = -156 Add '12' to each side of the equation. -12 + 12 + -3x = -156 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -156 + 12 -3x = -156 + 12 Combine like terms: -156 + 12 = -144 -3x = -144 Divide each side by '-3'. x = 48 Simplifying x = 48
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