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Simplifying 7(x + 3) + -2(8x + -8) = 100 Reorder the terms: 7(3 + x) + -2(8x + -8) = 100 (3 * 7 + x * 7) + -2(8x + -8) = 100 (21 + 7x) + -2(8x + -8) = 100 Reorder the terms: 21 + 7x + -2(-8 + 8x) = 100 21 + 7x + (-8 * -2 + 8x * -2) = 100 21 + 7x + (16 + -16x) = 100 Reorder the terms: 21 + 16 + 7x + -16x = 100 Combine like terms: 21 + 16 = 37 37 + 7x + -16x = 100 Combine like terms: 7x + -16x = -9x 37 + -9x = 100 Solving 37 + -9x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -9x = 100 + -37 Combine like terms: 37 + -37 = 0 0 + -9x = 100 + -37 -9x = 100 + -37 Combine like terms: 100 + -37 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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