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Simplifying 5(4 + -2x) = 7(3 + x) (4 * 5 + -2x * 5) = 7(3 + x) (20 + -10x) = 7(3 + x) 20 + -10x = (3 * 7 + x * 7) 20 + -10x = (21 + 7x) Solving 20 + -10x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -10x + -7x = 21 + 7x + -7x Combine like terms: -10x + -7x = -17x 20 + -17x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -17x = 21 + 0 20 + -17x = 21 Add '-20' to each side of the equation. 20 + -20 + -17x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -17x = 21 + -20 -17x = 21 + -20 Combine like terms: 21 + -20 = 1 -17x = 1 Divide each side by '-17'. x = -0.05882352941 Simplifying x = -0.05882352941
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