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Simplifying 2x + 24 = 8(x + -3) Reorder the terms: 24 + 2x = 8(x + -3) Reorder the terms: 24 + 2x = 8(-3 + x) 24 + 2x = (-3 * 8 + x * 8) 24 + 2x = (-24 + 8x) Solving 24 + 2x = -24 + 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. 24 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x 24 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -6x = -24 + 0 24 + -6x = -24 Add '-24' to each side of the equation. 24 + -24 + -6x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -24 + -24 -6x = -24 + -24 Combine like terms: -24 + -24 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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