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Simplifying -3(-5x + -2) + -3x + 5 = 5(2x + -4) + -1 Reorder the terms: -3(-2 + -5x) + -3x + 5 = 5(2x + -4) + -1 (-2 * -3 + -5x * -3) + -3x + 5 = 5(2x + -4) + -1 (6 + 15x) + -3x + 5 = 5(2x + -4) + -1 Reorder the terms: 6 + 5 + 15x + -3x = 5(2x + -4) + -1 Combine like terms: 6 + 5 = 11 11 + 15x + -3x = 5(2x + -4) + -1 Combine like terms: 15x + -3x = 12x 11 + 12x = 5(2x + -4) + -1 Reorder the terms: 11 + 12x = 5(-4 + 2x) + -1 11 + 12x = (-4 * 5 + 2x * 5) + -1 11 + 12x = (-20 + 10x) + -1 Reorder the terms: 11 + 12x = -20 + -1 + 10x Combine like terms: -20 + -1 = -21 11 + 12x = -21 + 10x Solving 11 + 12x = -21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 12x + -10x = -21 + 10x + -10x Combine like terms: 12x + -10x = 2x 11 + 2x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + 2x = -21 + 0 11 + 2x = -21 Add '-11' to each side of the equation. 11 + -11 + 2x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -21 + -11 2x = -21 + -11 Combine like terms: -21 + -11 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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