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Simplifying 8(-4x + 3) + x = 24 + -4x Reorder the terms: 8(3 + -4x) + x = 24 + -4x (3 * 8 + -4x * 8) + x = 24 + -4x (24 + -32x) + x = 24 + -4x Combine like terms: -32x + x = -31x 24 + -31x = 24 + -4x Add '-24' to each side of the equation. 24 + -24 + -31x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 0 + -31x = 24 + -24 + -4x -31x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 -31x = 0 + -4x -31x = -4x Solving -31x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -31x + 4x = -4x + 4x Combine like terms: -31x + 4x = -27x -27x = -4x + 4x Combine like terms: -4x + 4x = 0 -27x = 0 Divide each side by '-27'. x = 0 Simplifying x = 0
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