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Simplifying 4(2x + -1) + 5 = 3 + 2(x + -1) Reorder the terms: 4(-1 + 2x) + 5 = 3 + 2(x + -1) (-1 * 4 + 2x * 4) + 5 = 3 + 2(x + -1) (-4 + 8x) + 5 = 3 + 2(x + -1) Reorder the terms: -4 + 5 + 8x = 3 + 2(x + -1) Combine like terms: -4 + 5 = 1 1 + 8x = 3 + 2(x + -1) Reorder the terms: 1 + 8x = 3 + 2(-1 + x) 1 + 8x = 3 + (-1 * 2 + x * 2) 1 + 8x = 3 + (-2 + 2x) Combine like terms: 3 + -2 = 1 1 + 8x = 1 + 2x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + 2x 8x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 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. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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