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Simplifying 3(x + -10) + 6 = 5(2x + -10) Reorder the terms: 3(-10 + x) + 6 = 5(2x + -10) (-10 * 3 + x * 3) + 6 = 5(2x + -10) (-30 + 3x) + 6 = 5(2x + -10) Reorder the terms: -30 + 6 + 3x = 5(2x + -10) Combine like terms: -30 + 6 = -24 -24 + 3x = 5(2x + -10) Reorder the terms: -24 + 3x = 5(-10 + 2x) -24 + 3x = (-10 * 5 + 2x * 5) -24 + 3x = (-50 + 10x) Solving -24 + 3x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 3x + -10x = -50 + 10x + -10x Combine like terms: 3x + -10x = -7x -24 + -7x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -7x = -50 + 0 -24 + -7x = -50 Add '24' to each side of the equation. -24 + 24 + -7x = -50 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = -50 + 24 -7x = -50 + 24 Combine like terms: -50 + 24 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714
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