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Simplifying 3x + 2(x + -5) = 6(4x + 5) Reorder the terms: 3x + 2(-5 + x) = 6(4x + 5) 3x + (-5 * 2 + x * 2) = 6(4x + 5) 3x + (-10 + 2x) = 6(4x + 5) Reorder the terms: -10 + 3x + 2x = 6(4x + 5) Combine like terms: 3x + 2x = 5x -10 + 5x = 6(4x + 5) Reorder the terms: -10 + 5x = 6(5 + 4x) -10 + 5x = (5 * 6 + 4x * 6) -10 + 5x = (30 + 24x) Solving -10 + 5x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 5x + -24x = 30 + 24x + -24x Combine like terms: 5x + -24x = -19x -10 + -19x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -19x = 30 + 0 -10 + -19x = 30 Add '10' to each side of the equation. -10 + 10 + -19x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -19x = 30 + 10 -19x = 30 + 10 Combine like terms: 30 + 10 = 40 -19x = 40 Divide each side by '-19'. x = -2.105263158 Simplifying x = -2.105263158
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