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Simplifying 3(x + 7) + -6x = -1(x + -1) + -8 Reorder the terms: 3(7 + x) + -6x = -1(x + -1) + -8 (7 * 3 + x * 3) + -6x = -1(x + -1) + -8 (21 + 3x) + -6x = -1(x + -1) + -8 Combine like terms: 3x + -6x = -3x 21 + -3x = -1(x + -1) + -8 Reorder the terms: 21 + -3x = -1(-1 + x) + -8 21 + -3x = (-1 * -1 + x * -1) + -8 21 + -3x = (1 + -1x) + -8 Reorder the terms: 21 + -3x = 1 + -8 + -1x Combine like terms: 1 + -8 = -7 21 + -3x = -7 + -1x Solving 21 + -3x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -3x + x = -7 + -1x + x Combine like terms: -3x + x = -2x 21 + -2x = -7 + -1x + x Combine like terms: -1x + x = 0 21 + -2x = -7 + 0 21 + -2x = -7 Add '-21' to each side of the equation. 21 + -21 + -2x = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -7 + -21 -2x = -7 + -21 Combine like terms: -7 + -21 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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