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Simplifying -1(x + 5) * 3 + 2x = 5x + 2(3x + -4) + 5 Reorder the terms: -1(5 + x) * 3 + 2x = 5x + 2(3x + -4) + 5 Reorder the terms for easier multiplication: -1 * 3(5 + x) + 2x = 5x + 2(3x + -4) + 5 Multiply -1 * 3 -3(5 + x) + 2x = 5x + 2(3x + -4) + 5 (5 * -3 + x * -3) + 2x = 5x + 2(3x + -4) + 5 (-15 + -3x) + 2x = 5x + 2(3x + -4) + 5 Combine like terms: -3x + 2x = -1x -15 + -1x = 5x + 2(3x + -4) + 5 Reorder the terms: -15 + -1x = 5x + 2(-4 + 3x) + 5 -15 + -1x = 5x + (-4 * 2 + 3x * 2) + 5 -15 + -1x = 5x + (-8 + 6x) + 5 Reorder the terms: -15 + -1x = -8 + 5 + 5x + 6x Combine like terms: -8 + 5 = -3 -15 + -1x = -3 + 5x + 6x Combine like terms: 5x + 6x = 11x -15 + -1x = -3 + 11x Solving -15 + -1x = -3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -15 + -1x + -11x = -3 + 11x + -11x Combine like terms: -1x + -11x = -12x -15 + -12x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + -12x = -3 + 0 -15 + -12x = -3 Add '15' to each side of the equation. -15 + 15 + -12x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = -3 + 15 -12x = -3 + 15 Combine like terms: -3 + 15 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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