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Simplifying 2(x + -4) + (3x + 5) = 2x + -2 Reorder the terms: 2(-4 + x) + (3x + 5) = 2x + -2 (-4 * 2 + x * 2) + (3x + 5) = 2x + -2 (-8 + 2x) + (3x + 5) = 2x + -2 Reorder the terms: -8 + 2x + (5 + 3x) = 2x + -2 Remove parenthesis around (5 + 3x) -8 + 2x + 5 + 3x = 2x + -2 Reorder the terms: -8 + 5 + 2x + 3x = 2x + -2 Combine like terms: -8 + 5 = -3 -3 + 2x + 3x = 2x + -2 Combine like terms: 2x + 3x = 5x -3 + 5x = 2x + -2 Reorder the terms: -3 + 5x = -2 + 2x Solving -3 + 5x = -2 + 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. -3 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = -2 + 0 -3 + 3x = -2 Add '3' to each side of the equation. -3 + 3 + 3x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -2 + 3 3x = -2 + 3 Combine like terms: -2 + 3 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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