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Simplifying 7(2x + 1) = 5 + -4(2x + -3) Reorder the terms: 7(1 + 2x) = 5 + -4(2x + -3) (1 * 7 + 2x * 7) = 5 + -4(2x + -3) (7 + 14x) = 5 + -4(2x + -3) Reorder the terms: 7 + 14x = 5 + -4(-3 + 2x) 7 + 14x = 5 + (-3 * -4 + 2x * -4) 7 + 14x = 5 + (12 + -8x) Combine like terms: 5 + 12 = 17 7 + 14x = 17 + -8x Solving 7 + 14x = 17 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + 14x + 8x = 17 + -8x + 8x Combine like terms: 14x + 8x = 22x 7 + 22x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 22x = 17 + 0 7 + 22x = 17 Add '-7' to each side of the equation. 7 + -7 + 22x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 22x = 17 + -7 22x = 17 + -7 Combine like terms: 17 + -7 = 10 22x = 10 Divide each side by '22'. x = 0.4545454545 Simplifying x = 0.4545454545
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