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Simplifying 7 + 2(5x + -4) = 8 + -4(2x + 1) Reorder the terms: 7 + 2(-4 + 5x) = 8 + -4(2x + 1) 7 + (-4 * 2 + 5x * 2) = 8 + -4(2x + 1) 7 + (-8 + 10x) = 8 + -4(2x + 1) Combine like terms: 7 + -8 = -1 -1 + 10x = 8 + -4(2x + 1) Reorder the terms: -1 + 10x = 8 + -4(1 + 2x) -1 + 10x = 8 + (1 * -4 + 2x * -4) -1 + 10x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -1 + 10x = 4 + -8x Solving -1 + 10x = 4 + -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. -1 + 10x + 8x = 4 + -8x + 8x Combine like terms: 10x + 8x = 18x -1 + 18x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 18x = 4 + 0 -1 + 18x = 4 Add '1' to each side of the equation. -1 + 1 + 18x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = 4 + 1 18x = 4 + 1 Combine like terms: 4 + 1 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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