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Simplifying -2x + 4 = 4(2x + 1) + 10 Reorder the terms: 4 + -2x = 4(2x + 1) + 10 Reorder the terms: 4 + -2x = 4(1 + 2x) + 10 4 + -2x = (1 * 4 + 2x * 4) + 10 4 + -2x = (4 + 8x) + 10 Reorder the terms: 4 + -2x = 4 + 10 + 8x Combine like terms: 4 + 10 = 14 4 + -2x = 14 + 8x Solving 4 + -2x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -2x + -8x = 14 + 8x + -8x Combine like terms: -2x + -8x = -10x 4 + -10x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -10x = 14 + 0 4 + -10x = 14 Add '-4' to each side of the equation. 4 + -4 + -10x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 14 + -4 -10x = 14 + -4 Combine like terms: 14 + -4 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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