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Simplifying 3(x + -2) + 4 = 5(x + -1) + -2 Reorder the terms: 3(-2 + x) + 4 = 5(x + -1) + -2 (-2 * 3 + x * 3) + 4 = 5(x + -1) + -2 (-6 + 3x) + 4 = 5(x + -1) + -2 Reorder the terms: -6 + 4 + 3x = 5(x + -1) + -2 Combine like terms: -6 + 4 = -2 -2 + 3x = 5(x + -1) + -2 Reorder the terms: -2 + 3x = 5(-1 + x) + -2 -2 + 3x = (-1 * 5 + x * 5) + -2 -2 + 3x = (-5 + 5x) + -2 Reorder the terms: -2 + 3x = -5 + -2 + 5x Combine like terms: -5 + -2 = -7 -2 + 3x = -7 + 5x Solving -2 + 3x = -7 + 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. -2 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -7 + 0 -2 + -2x = -7 Add '2' to each side of the equation. -2 + 2 + -2x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -7 + 2 -2x = -7 + 2 Combine like terms: -7 + 2 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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