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Simplifying 4 + 5(8 + -2x) = 3(6x + 4) 4 + (8 * 5 + -2x * 5) = 3(6x + 4) 4 + (40 + -10x) = 3(6x + 4) Combine like terms: 4 + 40 = 44 44 + -10x = 3(6x + 4) Reorder the terms: 44 + -10x = 3(4 + 6x) 44 + -10x = (4 * 3 + 6x * 3) 44 + -10x = (12 + 18x) Solving 44 + -10x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 44 + -10x + -18x = 12 + 18x + -18x Combine like terms: -10x + -18x = -28x 44 + -28x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 44 + -28x = 12 + 0 44 + -28x = 12 Add '-44' to each side of the equation. 44 + -44 + -28x = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -28x = 12 + -44 -28x = 12 + -44 Combine like terms: 12 + -44 = -32 -28x = -32 Divide each side by '-28'. x = 1.142857143 Simplifying x = 1.142857143
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