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Simplifying 4(7x + -8) = 10 + 5(2x + -6) Reorder the terms: 4(-8 + 7x) = 10 + 5(2x + -6) (-8 * 4 + 7x * 4) = 10 + 5(2x + -6) (-32 + 28x) = 10 + 5(2x + -6) Reorder the terms: -32 + 28x = 10 + 5(-6 + 2x) -32 + 28x = 10 + (-6 * 5 + 2x * 5) -32 + 28x = 10 + (-30 + 10x) Combine like terms: 10 + -30 = -20 -32 + 28x = -20 + 10x Solving -32 + 28x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 28x + -10x = -20 + 10x + -10x Combine like terms: 28x + -10x = 18x -32 + 18x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 18x = -20 + 0 -32 + 18x = -20 Add '32' to each side of the equation. -32 + 32 + 18x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = -20 + 32 18x = -20 + 32 Combine like terms: -20 + 32 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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