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Simplifying 8(x + 6) + -1(2x + -5) = 5x Reorder the terms: 8(6 + x) + -1(2x + -5) = 5x (6 * 8 + x * 8) + -1(2x + -5) = 5x (48 + 8x) + -1(2x + -5) = 5x Reorder the terms: 48 + 8x + -1(-5 + 2x) = 5x 48 + 8x + (-5 * -1 + 2x * -1) = 5x 48 + 8x + (5 + -2x) = 5x Reorder the terms: 48 + 5 + 8x + -2x = 5x Combine like terms: 48 + 5 = 53 53 + 8x + -2x = 5x Combine like terms: 8x + -2x = 6x 53 + 6x = 5x Solving 53 + 6x = 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. 53 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 53 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 53 + 1x = 0 Add '-53' to each side of the equation. 53 + -53 + 1x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 1x = 0 + -53 1x = 0 + -53 Combine like terms: 0 + -53 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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