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Simplifying 2x + 3(8 + -2x) = 2x + -1(x + -2) + -2 2x + (8 * 3 + -2x * 3) = 2x + -1(x + -2) + -2 2x + (24 + -6x) = 2x + -1(x + -2) + -2 Reorder the terms: 24 + 2x + -6x = 2x + -1(x + -2) + -2 Combine like terms: 2x + -6x = -4x 24 + -4x = 2x + -1(x + -2) + -2 Reorder the terms: 24 + -4x = 2x + -1(-2 + x) + -2 24 + -4x = 2x + (-2 * -1 + x * -1) + -2 24 + -4x = 2x + (2 + -1x) + -2 Reorder the terms: 24 + -4x = 2 + -2 + 2x + -1x Combine like terms: 2 + -2 = 0 24 + -4x = 0 + 2x + -1x 24 + -4x = 2x + -1x Combine like terms: 2x + -1x = 1x 24 + -4x = 1x Solving 24 + -4x = 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. 24 + -4x + -1x = 1x + -1x Combine like terms: -4x + -1x = -5x 24 + -5x = 1x + -1x Combine like terms: 1x + -1x = 0 24 + -5x = 0 Add '-24' to each side of the equation. 24 + -24 + -5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 0 + -24 -5x = 0 + -24 Combine like terms: 0 + -24 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8
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