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Simplifying 7 + 2(5x + -6) = 6 + -4(2x + 1) Reorder the terms: 7 + 2(-6 + 5x) = 6 + -4(2x + 1) 7 + (-6 * 2 + 5x * 2) = 6 + -4(2x + 1) 7 + (-12 + 10x) = 6 + -4(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 10x = 6 + -4(2x + 1) Reorder the terms: -5 + 10x = 6 + -4(1 + 2x) -5 + 10x = 6 + (1 * -4 + 2x * -4) -5 + 10x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -5 + 10x = 2 + -8x Solving -5 + 10x = 2 + -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. -5 + 10x + 8x = 2 + -8x + 8x Combine like terms: 10x + 8x = 18x -5 + 18x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 18x = 2 + 0 -5 + 18x = 2 Add '5' to each side of the equation. -5 + 5 + 18x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 2 + 5 18x = 2 + 5 Combine like terms: 2 + 5 = 7 18x = 7 Divide each side by '18'. x = 0.3888888889 Simplifying x = 0.3888888889
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