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Simplifying 5x(4 + -3) + -2(x + -4) + -5x(2) = 20 Combine like terms: 4 + -3 = 1 5x(1) + -2(x + -4) + -5x(2) = 20 Reorder the terms for easier multiplication: 5 * 1x + -2(x + -4) + -5x(2) = 20 Multiply 5 * 1 5x + -2(x + -4) + -5x(2) = 20 Reorder the terms: 5x + -2(-4 + x) + -5x(2) = 20 5x + (-4 * -2 + x * -2) + -5x(2) = 20 5x + (8 + -2x) + -5x(2) = 20 Reorder the terms for easier multiplication: 5x + 8 + -2x + -5 * 2x = 20 Multiply -5 * 2 5x + 8 + -2x + -10x = 20 Reorder the terms: 8 + 5x + -2x + -10x = 20 Combine like terms: 5x + -2x = 3x 8 + 3x + -10x = 20 Combine like terms: 3x + -10x = -7x 8 + -7x = 20 Solving 8 + -7x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 20 + -8 -7x = 20 + -8 Combine like terms: 20 + -8 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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