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Simplifying 2x + -1(10x + -4) = 4(2x + 10) + 5 Reorder the terms: 2x + -1(-4 + 10x) = 4(2x + 10) + 5 2x + (-4 * -1 + 10x * -1) = 4(2x + 10) + 5 2x + (4 + -10x) = 4(2x + 10) + 5 Reorder the terms: 4 + 2x + -10x = 4(2x + 10) + 5 Combine like terms: 2x + -10x = -8x 4 + -8x = 4(2x + 10) + 5 Reorder the terms: 4 + -8x = 4(10 + 2x) + 5 4 + -8x = (10 * 4 + 2x * 4) + 5 4 + -8x = (40 + 8x) + 5 Reorder the terms: 4 + -8x = 40 + 5 + 8x Combine like terms: 40 + 5 = 45 4 + -8x = 45 + 8x Solving 4 + -8x = 45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -8x + -8x = 45 + 8x + -8x Combine like terms: -8x + -8x = -16x 4 + -16x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -16x = 45 + 0 4 + -16x = 45 Add '-4' to each side of the equation. 4 + -4 + -16x = 45 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = 45 + -4 -16x = 45 + -4 Combine like terms: 45 + -4 = 41 -16x = 41 Divide each side by '-16'. x = -2.5625 Simplifying x = -2.5625
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