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Simplifying 5(2x + -3) = 6(7x + -4) + 25 Reorder the terms: 5(-3 + 2x) = 6(7x + -4) + 25 (-3 * 5 + 2x * 5) = 6(7x + -4) + 25 (-15 + 10x) = 6(7x + -4) + 25 Reorder the terms: -15 + 10x = 6(-4 + 7x) + 25 -15 + 10x = (-4 * 6 + 7x * 6) + 25 -15 + 10x = (-24 + 42x) + 25 Reorder the terms: -15 + 10x = -24 + 25 + 42x Combine like terms: -24 + 25 = 1 -15 + 10x = 1 + 42x Solving -15 + 10x = 1 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -15 + 10x + -42x = 1 + 42x + -42x Combine like terms: 10x + -42x = -32x -15 + -32x = 1 + 42x + -42x Combine like terms: 42x + -42x = 0 -15 + -32x = 1 + 0 -15 + -32x = 1 Add '15' to each side of the equation. -15 + 15 + -32x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -32x = 1 + 15 -32x = 1 + 15 Combine like terms: 1 + 15 = 16 -32x = 16 Divide each side by '-32'. x = -0.5 Simplifying x = -0.5
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