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Simplifying 2(5x + -3) + 6(x + 5) = 2(x + 5) + -1(x + 7) Reorder the terms: 2(-3 + 5x) + 6(x + 5) = 2(x + 5) + -1(x + 7) (-3 * 2 + 5x * 2) + 6(x + 5) = 2(x + 5) + -1(x + 7) (-6 + 10x) + 6(x + 5) = 2(x + 5) + -1(x + 7) Reorder the terms: -6 + 10x + 6(5 + x) = 2(x + 5) + -1(x + 7) -6 + 10x + (5 * 6 + x * 6) = 2(x + 5) + -1(x + 7) -6 + 10x + (30 + 6x) = 2(x + 5) + -1(x + 7) Reorder the terms: -6 + 30 + 10x + 6x = 2(x + 5) + -1(x + 7) Combine like terms: -6 + 30 = 24 24 + 10x + 6x = 2(x + 5) + -1(x + 7) Combine like terms: 10x + 6x = 16x 24 + 16x = 2(x + 5) + -1(x + 7) Reorder the terms: 24 + 16x = 2(5 + x) + -1(x + 7) 24 + 16x = (5 * 2 + x * 2) + -1(x + 7) 24 + 16x = (10 + 2x) + -1(x + 7) Reorder the terms: 24 + 16x = 10 + 2x + -1(7 + x) 24 + 16x = 10 + 2x + (7 * -1 + x * -1) 24 + 16x = 10 + 2x + (-7 + -1x) Reorder the terms: 24 + 16x = 10 + -7 + 2x + -1x Combine like terms: 10 + -7 = 3 24 + 16x = 3 + 2x + -1x Combine like terms: 2x + -1x = 1x 24 + 16x = 3 + 1x Solving 24 + 16x = 3 + 1x 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. 24 + 16x + -1x = 3 + 1x + -1x Combine like terms: 16x + -1x = 15x 24 + 15x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 15x = 3 + 0 24 + 15x = 3 Add '-24' to each side of the equation. 24 + -24 + 15x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 3 + -24 15x = 3 + -24 Combine like terms: 3 + -24 = -21 15x = -21 Divide each side by '15'. x = -1.4 Simplifying x = -1.4
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