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Simplifying 10 + -1(x + -5) + 3 = 6x + -5(x + -1) + -3 Reorder the terms: 10 + -1(-5 + x) + 3 = 6x + -5(x + -1) + -3 10 + (-5 * -1 + x * -1) + 3 = 6x + -5(x + -1) + -3 10 + (5 + -1x) + 3 = 6x + -5(x + -1) + -3 Reorder the terms: 10 + 5 + 3 + -1x = 6x + -5(x + -1) + -3 Combine like terms: 10 + 5 = 15 15 + 3 + -1x = 6x + -5(x + -1) + -3 Combine like terms: 15 + 3 = 18 18 + -1x = 6x + -5(x + -1) + -3 Reorder the terms: 18 + -1x = 6x + -5(-1 + x) + -3 18 + -1x = 6x + (-1 * -5 + x * -5) + -3 18 + -1x = 6x + (5 + -5x) + -3 Reorder the terms: 18 + -1x = 5 + -3 + 6x + -5x Combine like terms: 5 + -3 = 2 18 + -1x = 2 + 6x + -5x Combine like terms: 6x + -5x = 1x 18 + -1x = 2 + 1x Solving 18 + -1x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + -1x + -1x = 2 + 1x + -1x Combine like terms: -1x + -1x = -2x 18 + -2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 18 + -2x = 2 + 0 18 + -2x = 2 Add '-18' to each side of the equation. 18 + -18 + -2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 2 + -18 -2x = 2 + -18 Combine like terms: 2 + -18 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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