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Simplifying -3(4x + -8) + 5x = 6(3x + 5) Reorder the terms: -3(-8 + 4x) + 5x = 6(3x + 5) (-8 * -3 + 4x * -3) + 5x = 6(3x + 5) (24 + -12x) + 5x = 6(3x + 5) Combine like terms: -12x + 5x = -7x 24 + -7x = 6(3x + 5) Reorder the terms: 24 + -7x = 6(5 + 3x) 24 + -7x = (5 * 6 + 3x * 6) 24 + -7x = (30 + 18x) Solving 24 + -7x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + -7x + -18x = 30 + 18x + -18x Combine like terms: -7x + -18x = -25x 24 + -25x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -25x = 30 + 0 24 + -25x = 30 Add '-24' to each side of the equation. 24 + -24 + -25x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -25x = 30 + -24 -25x = 30 + -24 Combine like terms: 30 + -24 = 6 -25x = 6 Divide each side by '-25'. x = -0.24 Simplifying x = -0.24
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