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Simplifying 2(x + -4) + 5(x + 4) = x + 2 Reorder the terms: 2(-4 + x) + 5(x + 4) = x + 2 (-4 * 2 + x * 2) + 5(x + 4) = x + 2 (-8 + 2x) + 5(x + 4) = x + 2 Reorder the terms: -8 + 2x + 5(4 + x) = x + 2 -8 + 2x + (4 * 5 + x * 5) = x + 2 -8 + 2x + (20 + 5x) = x + 2 Reorder the terms: -8 + 20 + 2x + 5x = x + 2 Combine like terms: -8 + 20 = 12 12 + 2x + 5x = x + 2 Combine like terms: 2x + 5x = 7x 12 + 7x = x + 2 Reorder the terms: 12 + 7x = 2 + x Solving 12 + 7x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 7x + -1x = 2 + x + -1x Combine like terms: 7x + -1x = 6x 12 + 6x = 2 + x + -1x Combine like terms: x + -1x = 0 12 + 6x = 2 + 0 12 + 6x = 2 Add '-12' to each side of the equation. 12 + -12 + 6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 2 + -12 6x = 2 + -12 Combine like terms: 2 + -12 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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