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Simplifying 3(x + -2) + 2x = 10(2x + -2) + -42 Reorder the terms: 3(-2 + x) + 2x = 10(2x + -2) + -42 (-2 * 3 + x * 3) + 2x = 10(2x + -2) + -42 (-6 + 3x) + 2x = 10(2x + -2) + -42 Combine like terms: 3x + 2x = 5x -6 + 5x = 10(2x + -2) + -42 Reorder the terms: -6 + 5x = 10(-2 + 2x) + -42 -6 + 5x = (-2 * 10 + 2x * 10) + -42 -6 + 5x = (-20 + 20x) + -42 Reorder the terms: -6 + 5x = -20 + -42 + 20x Combine like terms: -20 + -42 = -62 -6 + 5x = -62 + 20x Solving -6 + 5x = -62 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 5x + -20x = -62 + 20x + -20x Combine like terms: 5x + -20x = -15x -6 + -15x = -62 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -15x = -62 + 0 -6 + -15x = -62 Add '6' to each side of the equation. -6 + 6 + -15x = -62 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = -62 + 6 -15x = -62 + 6 Combine like terms: -62 + 6 = -56 -15x = -56 Divide each side by '-15'. x = 3.733333333 Simplifying x = 3.733333333
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