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Simplifying 5(x + -7) + 2 = 2(x + 3) + -5 Reorder the terms: 5(-7 + x) + 2 = 2(x + 3) + -5 (-7 * 5 + x * 5) + 2 = 2(x + 3) + -5 (-35 + 5x) + 2 = 2(x + 3) + -5 Reorder the terms: -35 + 2 + 5x = 2(x + 3) + -5 Combine like terms: -35 + 2 = -33 -33 + 5x = 2(x + 3) + -5 Reorder the terms: -33 + 5x = 2(3 + x) + -5 -33 + 5x = (3 * 2 + x * 2) + -5 -33 + 5x = (6 + 2x) + -5 Reorder the terms: -33 + 5x = 6 + -5 + 2x Combine like terms: 6 + -5 = 1 -33 + 5x = 1 + 2x Solving -33 + 5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x -33 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 3x = 1 + 0 -33 + 3x = 1 Add '33' to each side of the equation. -33 + 33 + 3x = 1 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = 1 + 33 3x = 1 + 33 Combine like terms: 1 + 33 = 34 3x = 34 Divide each side by '3'. x = 11.33333333 Simplifying x = 11.33333333
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