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Simplifying 8(21 + -3x) = 16(2x + -7) (21 * 8 + -3x * 8) = 16(2x + -7) (168 + -24x) = 16(2x + -7) Reorder the terms: 168 + -24x = 16(-7 + 2x) 168 + -24x = (-7 * 16 + 2x * 16) 168 + -24x = (-112 + 32x) Solving 168 + -24x = -112 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 168 + -24x + -32x = -112 + 32x + -32x Combine like terms: -24x + -32x = -56x 168 + -56x = -112 + 32x + -32x Combine like terms: 32x + -32x = 0 168 + -56x = -112 + 0 168 + -56x = -112 Add '-168' to each side of the equation. 168 + -168 + -56x = -112 + -168 Combine like terms: 168 + -168 = 0 0 + -56x = -112 + -168 -56x = -112 + -168 Combine like terms: -112 + -168 = -280 -56x = -280 Divide each side by '-56'. x = 5 Simplifying x = 5
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