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Simplifying 2(x + -5) + -3 = 4 + -1(x + -1) Reorder the terms: 2(-5 + x) + -3 = 4 + -1(x + -1) (-5 * 2 + x * 2) + -3 = 4 + -1(x + -1) (-10 + 2x) + -3 = 4 + -1(x + -1) Reorder the terms: -10 + -3 + 2x = 4 + -1(x + -1) Combine like terms: -10 + -3 = -13 -13 + 2x = 4 + -1(x + -1) Reorder the terms: -13 + 2x = 4 + -1(-1 + x) -13 + 2x = 4 + (-1 * -1 + x * -1) -13 + 2x = 4 + (1 + -1x) Combine like terms: 4 + 1 = 5 -13 + 2x = 5 + -1x Solving -13 + 2x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 2x + x = 5 + -1x + x Combine like terms: 2x + x = 3x -13 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 -13 + 3x = 5 + 0 -13 + 3x = 5 Add '13' to each side of the equation. -13 + 13 + 3x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 5 + 13 3x = 5 + 13 Combine like terms: 5 + 13 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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