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Simplifying 4(2x + 1) = 5 + -3(x + -7) Reorder the terms: 4(1 + 2x) = 5 + -3(x + -7) (1 * 4 + 2x * 4) = 5 + -3(x + -7) (4 + 8x) = 5 + -3(x + -7) Reorder the terms: 4 + 8x = 5 + -3(-7 + x) 4 + 8x = 5 + (-7 * -3 + x * -3) 4 + 8x = 5 + (21 + -3x) Combine like terms: 5 + 21 = 26 4 + 8x = 26 + -3x Solving 4 + 8x = 26 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 8x + 3x = 26 + -3x + 3x Combine like terms: 8x + 3x = 11x 4 + 11x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 11x = 26 + 0 4 + 11x = 26 Add '-4' to each side of the equation. 4 + -4 + 11x = 26 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 26 + -4 11x = 26 + -4 Combine like terms: 26 + -4 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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