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Simplifying 5(2x + 4) = -7(x + -3) Reorder the terms: 5(4 + 2x) = -7(x + -3) (4 * 5 + 2x * 5) = -7(x + -3) (20 + 10x) = -7(x + -3) Reorder the terms: 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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