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Simplifying 2(5x + -1) + -7 = 3(x + -1) + 5 + -4x Reorder the terms: 2(-1 + 5x) + -7 = 3(x + -1) + 5 + -4x (-1 * 2 + 5x * 2) + -7 = 3(x + -1) + 5 + -4x (-2 + 10x) + -7 = 3(x + -1) + 5 + -4x Reorder the terms: -2 + -7 + 10x = 3(x + -1) + 5 + -4x Combine like terms: -2 + -7 = -9 -9 + 10x = 3(x + -1) + 5 + -4x Reorder the terms: -9 + 10x = 3(-1 + x) + 5 + -4x -9 + 10x = (-1 * 3 + x * 3) + 5 + -4x -9 + 10x = (-3 + 3x) + 5 + -4x Reorder the terms: -9 + 10x = -3 + 5 + 3x + -4x Combine like terms: -3 + 5 = 2 -9 + 10x = 2 + 3x + -4x Combine like terms: 3x + -4x = -1x -9 + 10x = 2 + -1x Solving -9 + 10x = 2 + -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. -9 + 10x + x = 2 + -1x + x Combine like terms: 10x + x = 11x -9 + 11x = 2 + -1x + x Combine like terms: -1x + x = 0 -9 + 11x = 2 + 0 -9 + 11x = 2 Add '9' to each side of the equation. -9 + 9 + 11x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 2 + 9 11x = 2 + 9 Combine like terms: 2 + 9 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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