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Simplifying 7 = 4x + -1(2x + 1) Reorder the terms: 7 = 4x + -1(1 + 2x) 7 = 4x + (1 * -1 + 2x * -1) 7 = 4x + (-1 + -2x) Reorder the terms: 7 = -1 + 4x + -2x Combine like terms: 4x + -2x = 2x 7 = -1 + 2x Solving 7 = -1 + 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. 7 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = -1 + 0 7 + -2x = -1 Add '-7' to each side of the equation. 7 + -7 + -2x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -1 + -7 -2x = -1 + -7 Combine like terms: -1 + -7 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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