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Simplifying -4x + 24 = 2(3x + -3) + 10 Reorder the terms: 24 + -4x = 2(3x + -3) + 10 Reorder the terms: 24 + -4x = 2(-3 + 3x) + 10 24 + -4x = (-3 * 2 + 3x * 2) + 10 24 + -4x = (-6 + 6x) + 10 Reorder the terms: 24 + -4x = -6 + 10 + 6x Combine like terms: -6 + 10 = 4 24 + -4x = 4 + 6x Solving 24 + -4x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -4x + -6x = 4 + 6x + -6x Combine like terms: -4x + -6x = -10x 24 + -10x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -10x = 4 + 0 24 + -10x = 4 Add '-24' to each side of the equation. 24 + -24 + -10x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 4 + -24 -10x = 4 + -24 Combine like terms: 4 + -24 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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