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Simplifying 6(x + 4) + -2(9x + 3) = -13(x + -1) + -7 Reorder the terms: 6(4 + x) + -2(9x + 3) = -13(x + -1) + -7 (4 * 6 + x * 6) + -2(9x + 3) = -13(x + -1) + -7 (24 + 6x) + -2(9x + 3) = -13(x + -1) + -7 Reorder the terms: 24 + 6x + -2(3 + 9x) = -13(x + -1) + -7 24 + 6x + (3 * -2 + 9x * -2) = -13(x + -1) + -7 24 + 6x + (-6 + -18x) = -13(x + -1) + -7 Reorder the terms: 24 + -6 + 6x + -18x = -13(x + -1) + -7 Combine like terms: 24 + -6 = 18 18 + 6x + -18x = -13(x + -1) + -7 Combine like terms: 6x + -18x = -12x 18 + -12x = -13(x + -1) + -7 Reorder the terms: 18 + -12x = -13(-1 + x) + -7 18 + -12x = (-1 * -13 + x * -13) + -7 18 + -12x = (13 + -13x) + -7 Reorder the terms: 18 + -12x = 13 + -7 + -13x Combine like terms: 13 + -7 = 6 18 + -12x = 6 + -13x Solving 18 + -12x = 6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 18 + -12x + 13x = 6 + -13x + 13x Combine like terms: -12x + 13x = 1x 18 + 1x = 6 + -13x + 13x Combine like terms: -13x + 13x = 0 18 + 1x = 6 + 0 18 + 1x = 6 Add '-18' to each side of the equation. 18 + -18 + 1x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 6 + -18 1x = 6 + -18 Combine like terms: 6 + -18 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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