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Simplifying -1(5x + 9) + 8(3x + 9) = -9 + 12x + x + -12 Reorder the terms: -1(9 + 5x) + 8(3x + 9) = -9 + 12x + x + -12 (9 * -1 + 5x * -1) + 8(3x + 9) = -9 + 12x + x + -12 (-9 + -5x) + 8(3x + 9) = -9 + 12x + x + -12 Reorder the terms: -9 + -5x + 8(9 + 3x) = -9 + 12x + x + -12 -9 + -5x + (9 * 8 + 3x * 8) = -9 + 12x + x + -12 -9 + -5x + (72 + 24x) = -9 + 12x + x + -12 Reorder the terms: -9 + 72 + -5x + 24x = -9 + 12x + x + -12 Combine like terms: -9 + 72 = 63 63 + -5x + 24x = -9 + 12x + x + -12 Combine like terms: -5x + 24x = 19x 63 + 19x = -9 + 12x + x + -12 Reorder the terms: 63 + 19x = -9 + -12 + 12x + x Combine like terms: -9 + -12 = -21 63 + 19x = -21 + 12x + x Combine like terms: 12x + x = 13x 63 + 19x = -21 + 13x Solving 63 + 19x = -21 + 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. 63 + 19x + -13x = -21 + 13x + -13x Combine like terms: 19x + -13x = 6x 63 + 6x = -21 + 13x + -13x Combine like terms: 13x + -13x = 0 63 + 6x = -21 + 0 63 + 6x = -21 Add '-63' to each side of the equation. 63 + -63 + 6x = -21 + -63 Combine like terms: 63 + -63 = 0 0 + 6x = -21 + -63 6x = -21 + -63 Combine like terms: -21 + -63 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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