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Simplifying 6(x + 8) + -5(-4x + -3) = -1x + 6x Reorder the terms: 6(8 + x) + -5(-4x + -3) = -1x + 6x (8 * 6 + x * 6) + -5(-4x + -3) = -1x + 6x (48 + 6x) + -5(-4x + -3) = -1x + 6x Reorder the terms: 48 + 6x + -5(-3 + -4x) = -1x + 6x 48 + 6x + (-3 * -5 + -4x * -5) = -1x + 6x 48 + 6x + (15 + 20x) = -1x + 6x Reorder the terms: 48 + 15 + 6x + 20x = -1x + 6x Combine like terms: 48 + 15 = 63 63 + 6x + 20x = -1x + 6x Combine like terms: 6x + 20x = 26x 63 + 26x = -1x + 6x Combine like terms: -1x + 6x = 5x 63 + 26x = 5x Solving 63 + 26x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 63 + 26x + -5x = 5x + -5x Combine like terms: 26x + -5x = 21x 63 + 21x = 5x + -5x Combine like terms: 5x + -5x = 0 63 + 21x = 0 Add '-63' to each side of the equation. 63 + -63 + 21x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 21x = 0 + -63 21x = 0 + -63 Combine like terms: 0 + -63 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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