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Simplifying 3(10 + -1x) = 2(8 + -1x) + 3x (10 * 3 + -1x * 3) = 2(8 + -1x) + 3x (30 + -3x) = 2(8 + -1x) + 3x 30 + -3x = (8 * 2 + -1x * 2) + 3x 30 + -3x = (16 + -2x) + 3x Combine like terms: -2x + 3x = 1x 30 + -3x = 16 + 1x Solving 30 + -3x = 16 + 1x 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. 30 + -3x + -1x = 16 + 1x + -1x Combine like terms: -3x + -1x = -4x 30 + -4x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + -4x = 16 + 0 30 + -4x = 16 Add '-30' to each side of the equation. 30 + -30 + -4x = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 16 + -30 -4x = 16 + -30 Combine like terms: 16 + -30 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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