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Simplifying 2(3x + 4) = 4(4x + -5) Reorder the terms: 2(4 + 3x) = 4(4x + -5) (4 * 2 + 3x * 2) = 4(4x + -5) (8 + 6x) = 4(4x + -5) Reorder the terms: 8 + 6x = 4(-5 + 4x) 8 + 6x = (-5 * 4 + 4x * 4) 8 + 6x = (-20 + 16x) Solving 8 + 6x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8 + 6x + -16x = -20 + 16x + -16x Combine like terms: 6x + -16x = -10x 8 + -10x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -10x = -20 + 0 8 + -10x = -20 Add '-8' to each side of the equation. 8 + -8 + -10x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -20 + -8 -10x = -20 + -8 Combine like terms: -20 + -8 = -28 -10x = -28 Divide each side by '-10'. x = 2.8 Simplifying x = 2.8
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