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Simplifying 2(x + -4) + 3(x + -5) = 2x + -2 Reorder the terms: 2(-4 + x) + 3(x + -5) = 2x + -2 (-4 * 2 + x * 2) + 3(x + -5) = 2x + -2 (-8 + 2x) + 3(x + -5) = 2x + -2 Reorder the terms: -8 + 2x + 3(-5 + x) = 2x + -2 -8 + 2x + (-5 * 3 + x * 3) = 2x + -2 -8 + 2x + (-15 + 3x) = 2x + -2 Reorder the terms: -8 + -15 + 2x + 3x = 2x + -2 Combine like terms: -8 + -15 = -23 -23 + 2x + 3x = 2x + -2 Combine like terms: 2x + 3x = 5x -23 + 5x = 2x + -2 Reorder the terms: -23 + 5x = -2 + 2x Solving -23 + 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. -23 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -23 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 3x = -2 + 0 -23 + 3x = -2 Add '23' to each side of the equation. -23 + 23 + 3x = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -2 + 23 3x = -2 + 23 Combine like terms: -2 + 23 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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