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Simplifying 4(10x + 8) = 6 + -1(10x + -7) Reorder the terms: 4(8 + 10x) = 6 + -1(10x + -7) (8 * 4 + 10x * 4) = 6 + -1(10x + -7) (32 + 40x) = 6 + -1(10x + -7) Reorder the terms: 32 + 40x = 6 + -1(-7 + 10x) 32 + 40x = 6 + (-7 * -1 + 10x * -1) 32 + 40x = 6 + (7 + -10x) Combine like terms: 6 + 7 = 13 32 + 40x = 13 + -10x Solving 32 + 40x = 13 + -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 + 40x + 10x = 13 + -10x + 10x Combine like terms: 40x + 10x = 50x 32 + 50x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 32 + 50x = 13 + 0 32 + 50x = 13 Add '-32' to each side of the equation. 32 + -32 + 50x = 13 + -32 Combine like terms: 32 + -32 = 0 0 + 50x = 13 + -32 50x = 13 + -32 Combine like terms: 13 + -32 = -19 50x = -19 Divide each side by '50'. x = -0.38 Simplifying x = -0.38
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