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Simplifying 5x + 4(-3x + 8) = x + -8 Reorder the terms: 5x + 4(8 + -3x) = x + -8 5x + (8 * 4 + -3x * 4) = x + -8 5x + (32 + -12x) = x + -8 Reorder the terms: 32 + 5x + -12x = x + -8 Combine like terms: 5x + -12x = -7x 32 + -7x = x + -8 Reorder the terms: 32 + -7x = -8 + x Solving 32 + -7x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -7x + -1x = -8 + x + -1x Combine like terms: -7x + -1x = -8x 32 + -8x = -8 + x + -1x Combine like terms: x + -1x = 0 32 + -8x = -8 + 0 32 + -8x = -8 Add '-32' to each side of the equation. 32 + -32 + -8x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -8 + -32 -8x = -8 + -32 Combine like terms: -8 + -32 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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