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Simplifying 3x + -10 + (-1x) = 5(x + 1) + -6 Reorder the terms: -10 + 3x + (-1x) = 5(x + 1) + -6 Combine like terms: 3x + (-1x) = 2x -10 + 2x = 5(x + 1) + -6 Reorder the terms: -10 + 2x = 5(1 + x) + -6 -10 + 2x = (1 * 5 + x * 5) + -6 -10 + 2x = (5 + 5x) + -6 Reorder the terms: -10 + 2x = 5 + -6 + 5x Combine like terms: 5 + -6 = -1 -10 + 2x = -1 + 5x Solving -10 + 2x = -1 + 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. -10 + 2x + -5x = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -1 + 0 -10 + -3x = -1 Add '10' to each side of the equation. -10 + 10 + -3x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -1 + 10 -3x = -1 + 10 Combine like terms: -1 + 10 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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