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Simplifying 2(5x + -1) + 4(x + 4) = 7(x + 2) + -1(x + 10) Reorder the terms: 2(-1 + 5x) + 4(x + 4) = 7(x + 2) + -1(x + 10) (-1 * 2 + 5x * 2) + 4(x + 4) = 7(x + 2) + -1(x + 10) (-2 + 10x) + 4(x + 4) = 7(x + 2) + -1(x + 10) Reorder the terms: -2 + 10x + 4(4 + x) = 7(x + 2) + -1(x + 10) -2 + 10x + (4 * 4 + x * 4) = 7(x + 2) + -1(x + 10) -2 + 10x + (16 + 4x) = 7(x + 2) + -1(x + 10) Reorder the terms: -2 + 16 + 10x + 4x = 7(x + 2) + -1(x + 10) Combine like terms: -2 + 16 = 14 14 + 10x + 4x = 7(x + 2) + -1(x + 10) Combine like terms: 10x + 4x = 14x 14 + 14x = 7(x + 2) + -1(x + 10) Reorder the terms: 14 + 14x = 7(2 + x) + -1(x + 10) 14 + 14x = (2 * 7 + x * 7) + -1(x + 10) 14 + 14x = (14 + 7x) + -1(x + 10) Reorder the terms: 14 + 14x = 14 + 7x + -1(10 + x) 14 + 14x = 14 + 7x + (10 * -1 + x * -1) 14 + 14x = 14 + 7x + (-10 + -1x) Reorder the terms: 14 + 14x = 14 + -10 + 7x + -1x Combine like terms: 14 + -10 = 4 14 + 14x = 4 + 7x + -1x Combine like terms: 7x + -1x = 6x 14 + 14x = 4 + 6x Solving 14 + 14x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 14x + -6x = 4 + 6x + -6x Combine like terms: 14x + -6x = 8x 14 + 8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 8x = 4 + 0 14 + 8x = 4 Add '-14' to each side of the equation. 14 + -14 + 8x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 4 + -14 8x = 4 + -14 Combine like terms: 4 + -14 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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