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Simplifying 3x + -5(2x + -4) = x + 8 Reorder the terms: 3x + -5(-4 + 2x) = x + 8 3x + (-4 * -5 + 2x * -5) = x + 8 3x + (20 + -10x) = x + 8 Reorder the terms: 20 + 3x + -10x = x + 8 Combine like terms: 3x + -10x = -7x 20 + -7x = x + 8 Reorder the terms: 20 + -7x = 8 + x Solving 20 + -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. 20 + -7x + -1x = 8 + x + -1x Combine like terms: -7x + -1x = -8x 20 + -8x = 8 + x + -1x Combine like terms: x + -1x = 0 20 + -8x = 8 + 0 20 + -8x = 8 Add '-20' to each side of the equation. 20 + -20 + -8x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 8 + -20 -8x = 8 + -20 Combine like terms: 8 + -20 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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