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Simplifying x + 3(2x + -1) = 4(2x + 1) Reorder the terms: x + 3(-1 + 2x) = 4(2x + 1) x + (-1 * 3 + 2x * 3) = 4(2x + 1) x + (-3 + 6x) = 4(2x + 1) Reorder the terms: -3 + x + 6x = 4(2x + 1) Combine like terms: x + 6x = 7x -3 + 7x = 4(2x + 1) Reorder the terms: -3 + 7x = 4(1 + 2x) -3 + 7x = (1 * 4 + 2x * 4) -3 + 7x = (4 + 8x) Solving -3 + 7x = 4 + 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. -3 + 7x + -8x = 4 + 8x + -8x Combine like terms: 7x + -8x = -1x -3 + -1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -1x = 4 + 0 -3 + -1x = 4 Add '3' to each side of the equation. -3 + 3 + -1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 4 + 3 -1x = 4 + 3 Combine like terms: 4 + 3 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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