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Simplifying 4(2x + 7) = -2(x + 6) + -1 Reorder the terms: 4(7 + 2x) = -2(x + 6) + -1 (7 * 4 + 2x * 4) = -2(x + 6) + -1 (28 + 8x) = -2(x + 6) + -1 Reorder the terms: 28 + 8x = -2(6 + x) + -1 28 + 8x = (6 * -2 + x * -2) + -1 28 + 8x = (-12 + -2x) + -1 Reorder the terms: 28 + 8x = -12 + -1 + -2x Combine like terms: -12 + -1 = -13 28 + 8x = -13 + -2x Solving 28 + 8x = -13 + -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. 28 + 8x + 2x = -13 + -2x + 2x Combine like terms: 8x + 2x = 10x 28 + 10x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 10x = -13 + 0 28 + 10x = -13 Add '-28' to each side of the equation. 28 + -28 + 10x = -13 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = -13 + -28 10x = -13 + -28 Combine like terms: -13 + -28 = -41 10x = -41 Divide each side by '10'. x = -4.1 Simplifying x = -4.1
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