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