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Simplifying 7 + -1(x + -4) = 8(3 + 4x) Reorder the terms: 7 + -1(-4 + x) = 8(3 + 4x) 7 + (-4 * -1 + x * -1) = 8(3 + 4x) 7 + (4 + -1x) = 8(3 + 4x) Combine like terms: 7 + 4 = 11 11 + -1x = 8(3 + 4x) 11 + -1x = (3 * 8 + 4x * 8) 11 + -1x = (24 + 32x) Solving 11 + -1x = 24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 11 + -1x + -32x = 24 + 32x + -32x Combine like terms: -1x + -32x = -33x 11 + -33x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 11 + -33x = 24 + 0 11 + -33x = 24 Add '-11' to each side of the equation. 11 + -11 + -33x = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -33x = 24 + -11 -33x = 24 + -11 Combine like terms: 24 + -11 = 13 -33x = 13 Divide each side by '-33'. x = -0.3939393939 Simplifying x = -0.3939393939
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