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Simplifying 3x + -10 = 5(2x + -15) Reorder the terms: -10 + 3x = 5(2x + -15) Reorder the terms: -10 + 3x = 5(-15 + 2x) -10 + 3x = (-15 * 5 + 2x * 5) -10 + 3x = (-75 + 10x) Solving -10 + 3x = -75 + 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. -10 + 3x + -10x = -75 + 10x + -10x Combine like terms: 3x + -10x = -7x -10 + -7x = -75 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -7x = -75 + 0 -10 + -7x = -75 Add '10' to each side of the equation. -10 + 10 + -7x = -75 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -75 + 10 -7x = -75 + 10 Combine like terms: -75 + 10 = -65 -7x = -65 Divide each side by '-7'. x = 9.285714286 Simplifying x = 9.285714286
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