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Simplifying 2x + 7 + 1x + 65 = 18x + -6 + -3x + -18 Reorder the terms: 7 + 65 + 2x + 1x = 18x + -6 + -3x + -18 Combine like terms: 7 + 65 = 72 72 + 2x + 1x = 18x + -6 + -3x + -18 Combine like terms: 2x + 1x = 3x 72 + 3x = 18x + -6 + -3x + -18 Reorder the terms: 72 + 3x = -6 + -18 + 18x + -3x Combine like terms: -6 + -18 = -24 72 + 3x = -24 + 18x + -3x Combine like terms: 18x + -3x = 15x 72 + 3x = -24 + 15x Solving 72 + 3x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 72 + 3x + -15x = -24 + 15x + -15x Combine like terms: 3x + -15x = -12x 72 + -12x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 72 + -12x = -24 + 0 72 + -12x = -24 Add '-72' to each side of the equation. 72 + -72 + -12x = -24 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = -24 + -72 -12x = -24 + -72 Combine like terms: -24 + -72 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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