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Simplifying 3(5x + -4) + 2(7 + -5x) + -2(2x + 5) = -1 Reorder the terms: 3(-4 + 5x) + 2(7 + -5x) + -2(2x + 5) = -1 (-4 * 3 + 5x * 3) + 2(7 + -5x) + -2(2x + 5) = -1 (-12 + 15x) + 2(7 + -5x) + -2(2x + 5) = -1 -12 + 15x + (7 * 2 + -5x * 2) + -2(2x + 5) = -1 -12 + 15x + (14 + -10x) + -2(2x + 5) = -1 Reorder the terms: -12 + 15x + 14 + -10x + -2(5 + 2x) = -1 -12 + 15x + 14 + -10x + (5 * -2 + 2x * -2) = -1 -12 + 15x + 14 + -10x + (-10 + -4x) = -1 Reorder the terms: -12 + 14 + -10 + 15x + -10x + -4x = -1 Combine like terms: -12 + 14 = 2 2 + -10 + 15x + -10x + -4x = -1 Combine like terms: 2 + -10 = -8 -8 + 15x + -10x + -4x = -1 Combine like terms: 15x + -10x = 5x -8 + 5x + -4x = -1 Combine like terms: 5x + -4x = 1x -8 + 1x = -1 Solving -8 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -1 + 8 1x = -1 + 8 Combine like terms: -1 + 8 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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