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Simplifying 10(x + 2) = -1(-4 + -4x) + 2x Reorder the terms: 10(2 + x) = -1(-4 + -4x) + 2x (2 * 10 + x * 10) = -1(-4 + -4x) + 2x (20 + 10x) = -1(-4 + -4x) + 2x 20 + 10x = (-4 * -1 + -4x * -1) + 2x 20 + 10x = (4 + 4x) + 2x Combine like terms: 4x + 2x = 6x 20 + 10x = 4 + 6x Solving 20 + 10x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 10x + -6x = 4 + 6x + -6x Combine like terms: 10x + -6x = 4x 20 + 4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 4x = 4 + 0 20 + 4x = 4 Add '-20' to each side of the equation. 20 + -20 + 4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 4 + -20 4x = 4 + -20 Combine like terms: 4 + -20 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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