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Simplifying 8(4 + -1x) = 7x + 21 (4 * 8 + -1x * 8) = 7x + 21 (32 + -8x) = 7x + 21 Reorder the terms: 32 + -8x = 21 + 7x Solving 32 + -8x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + -8x + -7x = 21 + 7x + -7x Combine like terms: -8x + -7x = -15x 32 + -15x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -15x = 21 + 0 32 + -15x = 21 Add '-32' to each side of the equation. 32 + -32 + -15x = 21 + -32 Combine like terms: 32 + -32 = 0 0 + -15x = 21 + -32 -15x = 21 + -32 Combine like terms: 21 + -32 = -11 -15x = -11 Divide each side by '-15'. x = 0.7333333333 Simplifying x = 0.7333333333
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