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Simplifying 7(3 + -2x) + -2(8 + -5x) = x (3 * 7 + -2x * 7) + -2(8 + -5x) = x (21 + -14x) + -2(8 + -5x) = x 21 + -14x + (8 * -2 + -5x * -2) = x 21 + -14x + (-16 + 10x) = x Reorder the terms: 21 + -16 + -14x + 10x = x Combine like terms: 21 + -16 = 5 5 + -14x + 10x = x Combine like terms: -14x + 10x = -4x 5 + -4x = x Solving 5 + -4x = x 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. 5 + -4x + -1x = x + -1x Combine like terms: -4x + -1x = -5x 5 + -5x = x + -1x Combine like terms: x + -1x = 0 5 + -5x = 0 Add '-5' to each side of the equation. 5 + -5 + -5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 0 + -5 -5x = 0 + -5 Combine like terms: 0 + -5 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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