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Simplifying -5(-3x + 3) + -1x = 2(x + -5) + -2 Reorder the terms: -5(3 + -3x) + -1x = 2(x + -5) + -2 (3 * -5 + -3x * -5) + -1x = 2(x + -5) + -2 (-15 + 15x) + -1x = 2(x + -5) + -2 Combine like terms: 15x + -1x = 14x -15 + 14x = 2(x + -5) + -2 Reorder the terms: -15 + 14x = 2(-5 + x) + -2 -15 + 14x = (-5 * 2 + x * 2) + -2 -15 + 14x = (-10 + 2x) + -2 Reorder the terms: -15 + 14x = -10 + -2 + 2x Combine like terms: -10 + -2 = -12 -15 + 14x = -12 + 2x Solving -15 + 14x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 14x + -2x = -12 + 2x + -2x Combine like terms: 14x + -2x = 12x -15 + 12x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 12x = -12 + 0 -15 + 12x = -12 Add '15' to each side of the equation. -15 + 15 + 12x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -12 + 15 12x = -12 + 15 Combine like terms: -12 + 15 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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