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Simplifying 3x + (8 + 12x) + -1(7 + 4x) = 6x + -1(3 + -8x) + 13 Remove parenthesis around (8 + 12x) 3x + 8 + 12x + -1(7 + 4x) = 6x + -1(3 + -8x) + 13 3x + 8 + 12x + (7 * -1 + 4x * -1) = 6x + -1(3 + -8x) + 13 3x + 8 + 12x + (-7 + -4x) = 6x + -1(3 + -8x) + 13 Reorder the terms: 8 + -7 + 3x + 12x + -4x = 6x + -1(3 + -8x) + 13 Combine like terms: 8 + -7 = 1 1 + 3x + 12x + -4x = 6x + -1(3 + -8x) + 13 Combine like terms: 3x + 12x = 15x 1 + 15x + -4x = 6x + -1(3 + -8x) + 13 Combine like terms: 15x + -4x = 11x 1 + 11x = 6x + -1(3 + -8x) + 13 1 + 11x = 6x + (3 * -1 + -8x * -1) + 13 1 + 11x = 6x + (-3 + 8x) + 13 Reorder the terms: 1 + 11x = -3 + 13 + 6x + 8x Combine like terms: -3 + 13 = 10 1 + 11x = 10 + 6x + 8x Combine like terms: 6x + 8x = 14x 1 + 11x = 10 + 14x Solving 1 + 11x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + 11x + -14x = 10 + 14x + -14x Combine like terms: 11x + -14x = -3x 1 + -3x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -3x = 10 + 0 1 + -3x = 10 Add '-1' to each side of the equation. 1 + -1 + -3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 10 + -1 -3x = 10 + -1 Combine like terms: 10 + -1 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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