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Simplifying 4(5 + -1x) = 8(3x + 10) (5 * 4 + -1x * 4) = 8(3x + 10) (20 + -4x) = 8(3x + 10) Reorder the terms: 20 + -4x = 8(10 + 3x) 20 + -4x = (10 * 8 + 3x * 8) 20 + -4x = (80 + 24x) Solving 20 + -4x = 80 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 20 + -4x + -24x = 80 + 24x + -24x Combine like terms: -4x + -24x = -28x 20 + -28x = 80 + 24x + -24x Combine like terms: 24x + -24x = 0 20 + -28x = 80 + 0 20 + -28x = 80 Add '-20' to each side of the equation. 20 + -20 + -28x = 80 + -20 Combine like terms: 20 + -20 = 0 0 + -28x = 80 + -20 -28x = 80 + -20 Combine like terms: 80 + -20 = 60 -28x = 60 Divide each side by '-28'. x = -2.142857143 Simplifying x = -2.142857143
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