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Simplifying 2(3x + 4) = 5(2x + -6) Reorder the terms: 2(4 + 3x) = 5(2x + -6) (4 * 2 + 3x * 2) = 5(2x + -6) (8 + 6x) = 5(2x + -6) Reorder the terms: 8 + 6x = 5(-6 + 2x) 8 + 6x = (-6 * 5 + 2x * 5) 8 + 6x = (-30 + 10x) Solving 8 + 6x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 6x + -10x = -30 + 10x + -10x Combine like terms: 6x + -10x = -4x 8 + -4x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -4x = -30 + 0 8 + -4x = -30 Add '-8' to each side of the equation. 8 + -8 + -4x = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -30 + -8 -4x = -30 + -8 Combine like terms: -30 + -8 = -38 -4x = -38 Divide each side by '-4'. x = 9.5 Simplifying x = 9.5
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