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Simplifying 5x + -2(3x + -4) = 2x + 20 Reorder the terms: 5x + -2(-4 + 3x) = 2x + 20 5x + (-4 * -2 + 3x * -2) = 2x + 20 5x + (8 + -6x) = 2x + 20 Reorder the terms: 8 + 5x + -6x = 2x + 20 Combine like terms: 5x + -6x = -1x 8 + -1x = 2x + 20 Reorder the terms: 8 + -1x = 20 + 2x Solving 8 + -1x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -1x + -2x = 20 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = 20 + 0 8 + -3x = 20 Add '-8' to each side of the equation. 8 + -8 + -3x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 20 + -8 -3x = 20 + -8 Combine like terms: 20 + -8 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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