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Simplifying 5(2x + -3) + -4 = 3(x + 2) + -4 Reorder the terms: 5(-3 + 2x) + -4 = 3(x + 2) + -4 (-3 * 5 + 2x * 5) + -4 = 3(x + 2) + -4 (-15 + 10x) + -4 = 3(x + 2) + -4 Reorder the terms: -15 + -4 + 10x = 3(x + 2) + -4 Combine like terms: -15 + -4 = -19 -19 + 10x = 3(x + 2) + -4 Reorder the terms: -19 + 10x = 3(2 + x) + -4 -19 + 10x = (2 * 3 + x * 3) + -4 -19 + 10x = (6 + 3x) + -4 Reorder the terms: -19 + 10x = 6 + -4 + 3x Combine like terms: 6 + -4 = 2 -19 + 10x = 2 + 3x Solving -19 + 10x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x -19 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 7x = 2 + 0 -19 + 7x = 2 Add '19' to each side of the equation. -19 + 19 + 7x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 2 + 19 7x = 2 + 19 Combine like terms: 2 + 19 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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