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Simplifying 5(x + -2) + 1 = -1(x + -3) Reorder the terms: 5(-2 + x) + 1 = -1(x + -3) (-2 * 5 + x * 5) + 1 = -1(x + -3) (-10 + 5x) + 1 = -1(x + -3) Reorder the terms: -10 + 1 + 5x = -1(x + -3) Combine like terms: -10 + 1 = -9 -9 + 5x = -1(x + -3) Reorder the terms: -9 + 5x = -1(-3 + x) -9 + 5x = (-3 * -1 + x * -1) -9 + 5x = (3 + -1x) Solving -9 + 5x = 3 + -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. -9 + 5x + x = 3 + -1x + x Combine like terms: 5x + x = 6x -9 + 6x = 3 + -1x + x Combine like terms: -1x + x = 0 -9 + 6x = 3 + 0 -9 + 6x = 3 Add '9' to each side of the equation. -9 + 9 + 6x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 3 + 9 6x = 3 + 9 Combine like terms: 3 + 9 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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