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Simplifying 2(-3x + 5) = 4(x + 4) Reorder the terms: 2(5 + -3x) = 4(x + 4) (5 * 2 + -3x * 2) = 4(x + 4) (10 + -6x) = 4(x + 4) Reorder the terms: 10 + -6x = 4(4 + x) 10 + -6x = (4 * 4 + x * 4) 10 + -6x = (16 + 4x) Solving 10 + -6x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -6x + -4x = 16 + 4x + -4x Combine like terms: -6x + -4x = -10x 10 + -10x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -10x = 16 + 0 10 + -10x = 16 Add '-10' to each side of the equation. 10 + -10 + -10x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 16 + -10 -10x = 16 + -10 Combine like terms: 16 + -10 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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