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Simplifying 5(4x + 3) = 6(5x + -4) + -1 Reorder the terms: 5(3 + 4x) = 6(5x + -4) + -1 (3 * 5 + 4x * 5) = 6(5x + -4) + -1 (15 + 20x) = 6(5x + -4) + -1 Reorder the terms: 15 + 20x = 6(-4 + 5x) + -1 15 + 20x = (-4 * 6 + 5x * 6) + -1 15 + 20x = (-24 + 30x) + -1 Reorder the terms: 15 + 20x = -24 + -1 + 30x Combine like terms: -24 + -1 = -25 15 + 20x = -25 + 30x Solving 15 + 20x = -25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15 + 20x + -30x = -25 + 30x + -30x Combine like terms: 20x + -30x = -10x 15 + -10x = -25 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -10x = -25 + 0 15 + -10x = -25 Add '-15' to each side of the equation. 15 + -15 + -10x = -25 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -25 + -15 -10x = -25 + -15 Combine like terms: -25 + -15 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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