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Simplifying 100 = (x + 7) * 8 + -4(2x + -5) + x Reorder the terms: 100 = (7 + x) * 8 + -4(2x + -5) + x Reorder the terms for easier multiplication: 100 = 8(7 + x) + -4(2x + -5) + x 100 = (7 * 8 + x * 8) + -4(2x + -5) + x 100 = (56 + 8x) + -4(2x + -5) + x Reorder the terms: 100 = 56 + 8x + -4(-5 + 2x) + x 100 = 56 + 8x + (-5 * -4 + 2x * -4) + x 100 = 56 + 8x + (20 + -8x) + x Reorder the terms: 100 = 56 + 20 + 8x + -8x + x Combine like terms: 56 + 20 = 76 100 = 76 + 8x + -8x + x Combine like terms: 8x + -8x = 0 100 = 76 + 0 + x 100 = 76 + x Solving 100 = 76 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 100 + -1x = 76 + x + -1x Combine like terms: x + -1x = 0 100 + -1x = 76 + 0 100 + -1x = 76 Add '-100' to each side of the equation. 100 + -100 + -1x = 76 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 76 + -100 -1x = 76 + -100 Combine like terms: 76 + -100 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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