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Simplifying 10 + -1(x + 5) + 3x = 6x + -5(x + -1) + -3 Reorder the terms: 10 + -1(5 + x) + 3x = 6x + -5(x + -1) + -3 10 + (5 * -1 + x * -1) + 3x = 6x + -5(x + -1) + -3 10 + (-5 + -1x) + 3x = 6x + -5(x + -1) + -3 Combine like terms: 10 + -5 = 5 5 + -1x + 3x = 6x + -5(x + -1) + -3 Combine like terms: -1x + 3x = 2x 5 + 2x = 6x + -5(x + -1) + -3 Reorder the terms: 5 + 2x = 6x + -5(-1 + x) + -3 5 + 2x = 6x + (-1 * -5 + x * -5) + -3 5 + 2x = 6x + (5 + -5x) + -3 Reorder the terms: 5 + 2x = 5 + -3 + 6x + -5x Combine like terms: 5 + -3 = 2 5 + 2x = 2 + 6x + -5x Combine like terms: 6x + -5x = 1x 5 + 2x = 2 + 1x Solving 5 + 2x = 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. 5 + 2x + -1x = 2 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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