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Simplifying 3(4x + -5) = 10(x + 4) Reorder the terms: 3(-5 + 4x) = 10(x + 4) (-5 * 3 + 4x * 3) = 10(x + 4) (-15 + 12x) = 10(x + 4) Reorder the terms: -15 + 12x = 10(4 + x) -15 + 12x = (4 * 10 + x * 10) -15 + 12x = (40 + 10x) Solving -15 + 12x = 40 + 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. -15 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x -15 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 2x = 40 + 0 -15 + 2x = 40 Add '15' to each side of the equation. -15 + 15 + 2x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 40 + 15 2x = 40 + 15 Combine like terms: 40 + 15 = 55 2x = 55 Divide each side by '2'. x = 27.5 Simplifying x = 27.5
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