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Simplifying 2(x + 3) + -1(x + -1) = 4(2x + 7) Reorder the terms: 2(3 + x) + -1(x + -1) = 4(2x + 7) (3 * 2 + x * 2) + -1(x + -1) = 4(2x + 7) (6 + 2x) + -1(x + -1) = 4(2x + 7) Reorder the terms: 6 + 2x + -1(-1 + x) = 4(2x + 7) 6 + 2x + (-1 * -1 + x * -1) = 4(2x + 7) 6 + 2x + (1 + -1x) = 4(2x + 7) Reorder the terms: 6 + 1 + 2x + -1x = 4(2x + 7) Combine like terms: 6 + 1 = 7 7 + 2x + -1x = 4(2x + 7) Combine like terms: 2x + -1x = 1x 7 + 1x = 4(2x + 7) Reorder the terms: 7 + 1x = 4(7 + 2x) 7 + 1x = (7 * 4 + 2x * 4) 7 + 1x = (28 + 8x) Solving 7 + 1x = 28 + 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. 7 + 1x + -8x = 28 + 8x + -8x Combine like terms: 1x + -8x = -7x 7 + -7x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -7x = 28 + 0 7 + -7x = 28 Add '-7' to each side of the equation. 7 + -7 + -7x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 28 + -7 -7x = 28 + -7 Combine like terms: 28 + -7 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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