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Simplifying 4(2x + 1) + -3(2x + -1) = 4x + 1 Reorder the terms: 4(1 + 2x) + -3(2x + -1) = 4x + 1 (1 * 4 + 2x * 4) + -3(2x + -1) = 4x + 1 (4 + 8x) + -3(2x + -1) = 4x + 1 Reorder the terms: 4 + 8x + -3(-1 + 2x) = 4x + 1 4 + 8x + (-1 * -3 + 2x * -3) = 4x + 1 4 + 8x + (3 + -6x) = 4x + 1 Reorder the terms: 4 + 3 + 8x + -6x = 4x + 1 Combine like terms: 4 + 3 = 7 7 + 8x + -6x = 4x + 1 Combine like terms: 8x + -6x = 2x 7 + 2x = 4x + 1 Reorder the terms: 7 + 2x = 1 + 4x Solving 7 + 2x = 1 + 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. 7 + 2x + -4x = 1 + 4x + -4x Combine like terms: 2x + -4x = -2x 7 + -2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 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 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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