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Simplifying 5(4x + -3) = 6(x + 1) Reorder the terms: 5(-3 + 4x) = 6(x + 1) (-3 * 5 + 4x * 5) = 6(x + 1) (-15 + 20x) = 6(x + 1) Reorder the terms: -15 + 20x = 6(1 + x) -15 + 20x = (1 * 6 + x * 6) -15 + 20x = (6 + 6x) Solving -15 + 20x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 20x + -6x = 6 + 6x + -6x Combine like terms: 20x + -6x = 14x -15 + 14x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 14x = 6 + 0 -15 + 14x = 6 Add '15' to each side of the equation. -15 + 15 + 14x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 6 + 15 14x = 6 + 15 Combine like terms: 6 + 15 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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