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Simplifying 7 + -1(2x + -1) = 4(x + 1) + 1 Reorder the terms: 7 + -1(-1 + 2x) = 4(x + 1) + 1 7 + (-1 * -1 + 2x * -1) = 4(x + 1) + 1 7 + (1 + -2x) = 4(x + 1) + 1 Combine like terms: 7 + 1 = 8 8 + -2x = 4(x + 1) + 1 Reorder the terms: 8 + -2x = 4(1 + x) + 1 8 + -2x = (1 * 4 + x * 4) + 1 8 + -2x = (4 + 4x) + 1 Reorder the terms: 8 + -2x = 4 + 1 + 4x Combine like terms: 4 + 1 = 5 8 + -2x = 5 + 4x Solving 8 + -2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -2x + -4x = 5 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = 5 + 0 8 + -6x = 5 Add '-8' to each side of the equation. 8 + -8 + -6x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 5 + -8 -6x = 5 + -8 Combine like terms: 5 + -8 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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