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Simplifying 4 + -1(x + -31) = 7(x + 4) Reorder the terms: 4 + -1(-31 + x) = 7(x + 4) 4 + (-31 * -1 + x * -1) = 7(x + 4) 4 + (31 + -1x) = 7(x + 4) Combine like terms: 4 + 31 = 35 35 + -1x = 7(x + 4) Reorder the terms: 35 + -1x = 7(4 + x) 35 + -1x = (4 * 7 + x * 7) 35 + -1x = (28 + 7x) Solving 35 + -1x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + -1x + -7x = 28 + 7x + -7x Combine like terms: -1x + -7x = -8x 35 + -8x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -8x = 28 + 0 35 + -8x = 28 Add '-35' to each side of the equation. 35 + -35 + -8x = 28 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = 28 + -35 -8x = 28 + -35 Combine like terms: 28 + -35 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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