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Simplifying 18x + -6 + -1(12x + 6) + -1(8x + -16) = 2x + -10 Reorder the terms: 18x + -6 + -1(6 + 12x) + -1(8x + -16) = 2x + -10 18x + -6 + (6 * -1 + 12x * -1) + -1(8x + -16) = 2x + -10 18x + -6 + (-6 + -12x) + -1(8x + -16) = 2x + -10 Reorder the terms: 18x + -6 + -6 + -12x + -1(-16 + 8x) = 2x + -10 18x + -6 + -6 + -12x + (-16 * -1 + 8x * -1) = 2x + -10 18x + -6 + -6 + -12x + (16 + -8x) = 2x + -10 Reorder the terms: -6 + -6 + 16 + 18x + -12x + -8x = 2x + -10 Combine like terms: -6 + -6 = -12 -12 + 16 + 18x + -12x + -8x = 2x + -10 Combine like terms: -12 + 16 = 4 4 + 18x + -12x + -8x = 2x + -10 Combine like terms: 18x + -12x = 6x 4 + 6x + -8x = 2x + -10 Combine like terms: 6x + -8x = -2x 4 + -2x = 2x + -10 Reorder the terms: 4 + -2x = -10 + 2x Solving 4 + -2x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -2x + -2x = -10 + 2x + -2x Combine like terms: -2x + -2x = -4x 4 + -4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -4x = -10 + 0 4 + -4x = -10 Add '-4' to each side of the equation. 4 + -4 + -4x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -10 + -4 -4x = -10 + -4 Combine like terms: -10 + -4 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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