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Simplifying 5x + -10 = 2x + 10(x + -3) Reorder the terms: -10 + 5x = 2x + 10(x + -3) Reorder the terms: -10 + 5x = 2x + 10(-3 + x) -10 + 5x = 2x + (-3 * 10 + x * 10) -10 + 5x = 2x + (-30 + 10x) Reorder the terms: -10 + 5x = -30 + 2x + 10x Combine like terms: 2x + 10x = 12x -10 + 5x = -30 + 12x Solving -10 + 5x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 5x + -12x = -30 + 12x + -12x Combine like terms: 5x + -12x = -7x -10 + -7x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -7x = -30 + 0 -10 + -7x = -30 Add '10' to each side of the equation. -10 + 10 + -7x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -30 + 10 -7x = -30 + 10 Combine like terms: -30 + 10 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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