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Simplifying 5(2x + -7) + 3 = 3(x + -1) + -1 Reorder the terms: 5(-7 + 2x) + 3 = 3(x + -1) + -1 (-7 * 5 + 2x * 5) + 3 = 3(x + -1) + -1 (-35 + 10x) + 3 = 3(x + -1) + -1 Reorder the terms: -35 + 3 + 10x = 3(x + -1) + -1 Combine like terms: -35 + 3 = -32 -32 + 10x = 3(x + -1) + -1 Reorder the terms: -32 + 10x = 3(-1 + x) + -1 -32 + 10x = (-1 * 3 + x * 3) + -1 -32 + 10x = (-3 + 3x) + -1 Reorder the terms: -32 + 10x = -3 + -1 + 3x Combine like terms: -3 + -1 = -4 -32 + 10x = -4 + 3x Solving -32 + 10x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 10x + -3x = -4 + 3x + -3x Combine like terms: 10x + -3x = 7x -32 + 7x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 7x = -4 + 0 -32 + 7x = -4 Add '32' to each side of the equation. -32 + 32 + 7x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = -4 + 32 7x = -4 + 32 Combine like terms: -4 + 32 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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