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Simplifying 2(x + -5) + 3(x + -4) = 2x + -4 Reorder the terms: 2(-5 + x) + 3(x + -4) = 2x + -4 (-5 * 2 + x * 2) + 3(x + -4) = 2x + -4 (-10 + 2x) + 3(x + -4) = 2x + -4 Reorder the terms: -10 + 2x + 3(-4 + x) = 2x + -4 -10 + 2x + (-4 * 3 + x * 3) = 2x + -4 -10 + 2x + (-12 + 3x) = 2x + -4 Reorder the terms: -10 + -12 + 2x + 3x = 2x + -4 Combine like terms: -10 + -12 = -22 -22 + 2x + 3x = 2x + -4 Combine like terms: 2x + 3x = 5x -22 + 5x = 2x + -4 Reorder the terms: -22 + 5x = -4 + 2x Solving -22 + 5x = -4 + 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. -22 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = -4 + 0 -22 + 3x = -4 Add '22' to each side of the equation. -22 + 22 + 3x = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -4 + 22 3x = -4 + 22 Combine like terms: -4 + 22 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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