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Simplifying -3(x + 5) + 1 = 9 + -1(x + -3) Reorder the terms: -3(5 + x) + 1 = 9 + -1(x + -3) (5 * -3 + x * -3) + 1 = 9 + -1(x + -3) (-15 + -3x) + 1 = 9 + -1(x + -3) Reorder the terms: -15 + 1 + -3x = 9 + -1(x + -3) Combine like terms: -15 + 1 = -14 -14 + -3x = 9 + -1(x + -3) Reorder the terms: -14 + -3x = 9 + -1(-3 + x) -14 + -3x = 9 + (-3 * -1 + x * -1) -14 + -3x = 9 + (3 + -1x) Combine like terms: 9 + 3 = 12 -14 + -3x = 12 + -1x Solving -14 + -3x = 12 + -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. -14 + -3x + x = 12 + -1x + x Combine like terms: -3x + x = -2x -14 + -2x = 12 + -1x + x Combine like terms: -1x + x = 0 -14 + -2x = 12 + 0 -14 + -2x = 12 Add '14' to each side of the equation. -14 + 14 + -2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 12 + 14 -2x = 12 + 14 Combine like terms: 12 + 14 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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