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Simplifying 5(2x + 6) = 4(3x + -4) Reorder the terms: 5(6 + 2x) = 4(3x + -4) (6 * 5 + 2x * 5) = 4(3x + -4) (30 + 10x) = 4(3x + -4) Reorder the terms: 30 + 10x = 4(-4 + 3x) 30 + 10x = (-4 * 4 + 3x * 4) 30 + 10x = (-16 + 12x) Solving 30 + 10x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 10x + -12x = -16 + 12x + -12x Combine like terms: 10x + -12x = -2x 30 + -2x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -2x = -16 + 0 30 + -2x = -16 Add '-30' to each side of the equation. 30 + -30 + -2x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = -16 + -30 -2x = -16 + -30 Combine like terms: -16 + -30 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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