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Simplifying 5(x + 2) + -6(x + -4) = x + 7 + 5 Reorder the terms: 5(2 + x) + -6(x + -4) = x + 7 + 5 (2 * 5 + x * 5) + -6(x + -4) = x + 7 + 5 (10 + 5x) + -6(x + -4) = x + 7 + 5 Reorder the terms: 10 + 5x + -6(-4 + x) = x + 7 + 5 10 + 5x + (-4 * -6 + x * -6) = x + 7 + 5 10 + 5x + (24 + -6x) = x + 7 + 5 Reorder the terms: 10 + 24 + 5x + -6x = x + 7 + 5 Combine like terms: 10 + 24 = 34 34 + 5x + -6x = x + 7 + 5 Combine like terms: 5x + -6x = -1x 34 + -1x = x + 7 + 5 Reorder the terms: 34 + -1x = 7 + 5 + x Combine like terms: 7 + 5 = 12 34 + -1x = 12 + x Solving 34 + -1x = 12 + 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. 34 + -1x + -1x = 12 + x + -1x Combine like terms: -1x + -1x = -2x 34 + -2x = 12 + x + -1x Combine like terms: x + -1x = 0 34 + -2x = 12 + 0 34 + -2x = 12 Add '-34' to each side of the equation. 34 + -34 + -2x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 12 + -34 -2x = 12 + -34 Combine like terms: 12 + -34 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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