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Simplifying 3(x + -2) + 2 = 5(x + 4) + -26 Reorder the terms: 3(-2 + x) + 2 = 5(x + 4) + -26 (-2 * 3 + x * 3) + 2 = 5(x + 4) + -26 (-6 + 3x) + 2 = 5(x + 4) + -26 Reorder the terms: -6 + 2 + 3x = 5(x + 4) + -26 Combine like terms: -6 + 2 = -4 -4 + 3x = 5(x + 4) + -26 Reorder the terms: -4 + 3x = 5(4 + x) + -26 -4 + 3x = (4 * 5 + x * 5) + -26 -4 + 3x = (20 + 5x) + -26 Reorder the terms: -4 + 3x = 20 + -26 + 5x Combine like terms: 20 + -26 = -6 -4 + 3x = -6 + 5x Solving -4 + 3x = -6 + 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. -4 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -6 + 0 -4 + -2x = -6 Add '4' to each side of the equation. -4 + 4 + -2x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -6 + 4 -2x = -6 + 4 Combine like terms: -6 + 4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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