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Simplifying 4(2 + -1x) + 2(1 + -5x) = 5(2 + -3) + x (2 * 4 + -1x * 4) + 2(1 + -5x) = 5(2 + -3) + x (8 + -4x) + 2(1 + -5x) = 5(2 + -3) + x 8 + -4x + (1 * 2 + -5x * 2) = 5(2 + -3) + x 8 + -4x + (2 + -10x) = 5(2 + -3) + x Reorder the terms: 8 + 2 + -4x + -10x = 5(2 + -3) + x Combine like terms: 8 + 2 = 10 10 + -4x + -10x = 5(2 + -3) + x Combine like terms: -4x + -10x = -14x 10 + -14x = 5(2 + -3) + x Combine like terms: 2 + -3 = -1 10 + -14x = 5(-1) + x Multiply 5 * -1 10 + -14x = -5 + x Solving 10 + -14x = -5 + 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. 10 + -14x + -1x = -5 + x + -1x Combine like terms: -14x + -1x = -15x 10 + -15x = -5 + x + -1x Combine like terms: x + -1x = 0 10 + -15x = -5 + 0 10 + -15x = -5 Add '-10' to each side of the equation. 10 + -10 + -15x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = -5 + -10 -15x = -5 + -10 Combine like terms: -5 + -10 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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