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Simplifying 7(x + 8) = 4[x + -1(7 + -1x)] Reorder the terms: 7(8 + x) = 4[x + -1(7 + -1x)] (8 * 7 + x * 7) = 4[x + -1(7 + -1x)] (56 + 7x) = 4[x + -1(7 + -1x)] 56 + 7x = 4[x + (7 * -1 + -1x * -1)] 56 + 7x = 4[x + (-7 + 1x)] Reorder the terms: 56 + 7x = 4[-7 + x + 1x] Combine like terms: x + 1x = 2x 56 + 7x = 4[-7 + 2x] 56 + 7x = [-7 * 4 + 2x * 4] 56 + 7x = [-28 + 8x] Solving 56 + 7x = -28 + 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. 56 + 7x + -8x = -28 + 8x + -8x Combine like terms: 7x + -8x = -1x 56 + -1x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 56 + -1x = -28 + 0 56 + -1x = -28 Add '-56' to each side of the equation. 56 + -56 + -1x = -28 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = -28 + -56 -1x = -28 + -56 Combine like terms: -28 + -56 = -84 -1x = -84 Divide each side by '-1'. x = 84 Simplifying x = 84
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