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Simplifying -1(5 + 3x) = -1(x + -3) (5 * -1 + 3x * -1) = -1(x + -3) (-5 + -3x) = -1(x + -3) Reorder the terms: -5 + -3x = -1(-3 + x) -5 + -3x = (-3 * -1 + x * -1) -5 + -3x = (3 + -1x) Solving -5 + -3x = 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. -5 + -3x + x = 3 + -1x + x Combine like terms: -3x + x = -2x -5 + -2x = 3 + -1x + x Combine like terms: -1x + x = 0 -5 + -2x = 3 + 0 -5 + -2x = 3 Add '5' to each side of the equation. -5 + 5 + -2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 3 + 5 -2x = 3 + 5 Combine like terms: 3 + 5 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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