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Simplifying 7(4 + -1x) + 11 = -8(x + -5) + 3 (4 * 7 + -1x * 7) + 11 = -8(x + -5) + 3 (28 + -7x) + 11 = -8(x + -5) + 3 Reorder the terms: 28 + 11 + -7x = -8(x + -5) + 3 Combine like terms: 28 + 11 = 39 39 + -7x = -8(x + -5) + 3 Reorder the terms: 39 + -7x = -8(-5 + x) + 3 39 + -7x = (-5 * -8 + x * -8) + 3 39 + -7x = (40 + -8x) + 3 Reorder the terms: 39 + -7x = 40 + 3 + -8x Combine like terms: 40 + 3 = 43 39 + -7x = 43 + -8x Solving 39 + -7x = 43 + -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. 39 + -7x + 8x = 43 + -8x + 8x Combine like terms: -7x + 8x = 1x 39 + 1x = 43 + -8x + 8x Combine like terms: -8x + 8x = 0 39 + 1x = 43 + 0 39 + 1x = 43 Add '-39' to each side of the equation. 39 + -39 + 1x = 43 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 43 + -39 1x = 43 + -39 Combine like terms: 43 + -39 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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