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Simplifying 5(2(x) + 4) + -2(x) = 7(x) + -3(-2(x) * 11) Reorder the terms: 5(4 + 2x) + -2(x) = 7(x) + -3(-2(x) * 11) (4 * 5 + 2x * 5) + -2(x) = 7(x) + -3(-2(x) * 11) (20 + 10x) + -2(x) = 7(x) + -3(-2(x) * 11) Combine like terms: 10x + -2x = 8x 20 + 8x = 7(x) + -3(-2(x) * 11) Reorder the terms for easier multiplication: 20 + 8x = 7x + -3(-2 * 11x) Multiply -2 * 11 20 + 8x = 7x + -3(-22x) Remove parenthesis around (-22x) 20 + 8x = 7x + -3 * -22x Multiply -3 * -22 20 + 8x = 7x + 66x Combine like terms: 7x + 66x = 73x 20 + 8x = 73x Solving 20 + 8x = 73x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73x' to each side of the equation. 20 + 8x + -73x = 73x + -73x Combine like terms: 8x + -73x = -65x 20 + -65x = 73x + -73x Combine like terms: 73x + -73x = 0 20 + -65x = 0 Add '-20' to each side of the equation. 20 + -20 + -65x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -65x = 0 + -20 -65x = 0 + -20 Combine like terms: 0 + -20 = -20 -65x = -20 Divide each side by '-65'. x = 0.3076923077 Simplifying x = 0.3076923077
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