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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 = -2x 10 + -2x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + -2x = -16 + 0 10 + -2x = -16 Add '-10' to each side of the equation. 10 + -10 + -2x = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -16 + -10 -2x = -16 + -10 Combine like terms: -16 + -10 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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