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Simplifying 5 + -10(2x + 8) = 4(6x + 3) Reorder the terms: 5 + -10(8 + 2x) = 4(6x + 3) 5 + (8 * -10 + 2x * -10) = 4(6x + 3) 5 + (-80 + -20x) = 4(6x + 3) Combine like terms: 5 + -80 = -75 -75 + -20x = 4(6x + 3) Reorder the terms: -75 + -20x = 4(3 + 6x) -75 + -20x = (3 * 4 + 6x * 4) -75 + -20x = (12 + 24x) Solving -75 + -20x = 12 + 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. -75 + -20x + -24x = 12 + 24x + -24x Combine like terms: -20x + -24x = -44x -75 + -44x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -75 + -44x = 12 + 0 -75 + -44x = 12 Add '75' to each side of the equation. -75 + 75 + -44x = 12 + 75 Combine like terms: -75 + 75 = 0 0 + -44x = 12 + 75 -44x = 12 + 75 Combine like terms: 12 + 75 = 87 -44x = 87 Divide each side by '-44'. x = -1.977272727 Simplifying x = -1.977272727
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