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Simplifying 3(x + 4) + -2(x + -5) = 6x + -2(x + -5) Reorder the terms: 3(4 + x) + -2(x + -5) = 6x + -2(x + -5) (4 * 3 + x * 3) + -2(x + -5) = 6x + -2(x + -5) (12 + 3x) + -2(x + -5) = 6x + -2(x + -5) Reorder the terms: 12 + 3x + -2(-5 + x) = 6x + -2(x + -5) 12 + 3x + (-5 * -2 + x * -2) = 6x + -2(x + -5) 12 + 3x + (10 + -2x) = 6x + -2(x + -5) Reorder the terms: 12 + 10 + 3x + -2x = 6x + -2(x + -5) Combine like terms: 12 + 10 = 22 22 + 3x + -2x = 6x + -2(x + -5) Combine like terms: 3x + -2x = 1x 22 + 1x = 6x + -2(x + -5) Reorder the terms: 22 + 1x = 6x + -2(-5 + x) 22 + 1x = 6x + (-5 * -2 + x * -2) 22 + 1x = 6x + (10 + -2x) Reorder the terms: 22 + 1x = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x 22 + 1x = 10 + 4x Solving 22 + 1x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 1x + -4x = 10 + 4x + -4x Combine like terms: 1x + -4x = -3x 22 + -3x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -3x = 10 + 0 22 + -3x = 10 Add '-22' to each side of the equation. 22 + -22 + -3x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 10 + -22 -3x = 10 + -22 Combine like terms: 10 + -22 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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