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Simplifying 2(x + -5) + 5(x + 6) = 4(x + 7) Reorder the terms: 2(-5 + x) + 5(x + 6) = 4(x + 7) (-5 * 2 + x * 2) + 5(x + 6) = 4(x + 7) (-10 + 2x) + 5(x + 6) = 4(x + 7) Reorder the terms: -10 + 2x + 5(6 + x) = 4(x + 7) -10 + 2x + (6 * 5 + x * 5) = 4(x + 7) -10 + 2x + (30 + 5x) = 4(x + 7) Reorder the terms: -10 + 30 + 2x + 5x = 4(x + 7) Combine like terms: -10 + 30 = 20 20 + 2x + 5x = 4(x + 7) Combine like terms: 2x + 5x = 7x 20 + 7x = 4(x + 7) Reorder the terms: 20 + 7x = 4(7 + x) 20 + 7x = (7 * 4 + x * 4) 20 + 7x = (28 + 4x) Solving 20 + 7x = 28 + 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. 20 + 7x + -4x = 28 + 4x + -4x Combine like terms: 7x + -4x = 3x 20 + 3x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 3x = 28 + 0 20 + 3x = 28 Add '-20' to each side of the equation. 20 + -20 + 3x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 28 + -20 3x = 28 + -20 Combine like terms: 28 + -20 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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