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Simplifying 7 + 2(x + -5) = 5(x + 3) + -2 Reorder the terms: 7 + 2(-5 + x) = 5(x + 3) + -2 7 + (-5 * 2 + x * 2) = 5(x + 3) + -2 7 + (-10 + 2x) = 5(x + 3) + -2 Combine like terms: 7 + -10 = -3 -3 + 2x = 5(x + 3) + -2 Reorder the terms: -3 + 2x = 5(3 + x) + -2 -3 + 2x = (3 * 5 + x * 5) + -2 -3 + 2x = (15 + 5x) + -2 Reorder the terms: -3 + 2x = 15 + -2 + 5x Combine like terms: 15 + -2 = 13 -3 + 2x = 13 + 5x Solving -3 + 2x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3x = 13 + 0 -3 + -3x = 13 Add '3' to each side of the equation. -3 + 3 + -3x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 13 + 3 -3x = 13 + 3 Combine like terms: 13 + 3 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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