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Simplifying 4(2x + -1) + 8 = 10x + -2 Reorder the terms: 4(-1 + 2x) + 8 = 10x + -2 (-1 * 4 + 2x * 4) + 8 = 10x + -2 (-4 + 8x) + 8 = 10x + -2 Reorder the terms: -4 + 8 + 8x = 10x + -2 Combine like terms: -4 + 8 = 4 4 + 8x = 10x + -2 Reorder the terms: 4 + 8x = -2 + 10x Solving 4 + 8x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 8x + -10x = -2 + 10x + -10x Combine like terms: 8x + -10x = -2x 4 + -2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -2x = -2 + 0 4 + -2x = -2 Add '-4' to each side of the equation. 4 + -4 + -2x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -2 + -4 -2x = -2 + -4 Combine like terms: -2 + -4 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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