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Simplifying (3x + -10) + 2x = 3(3x + -10) + -8 Reorder the terms: (-10 + 3x) + 2x = 3(3x + -10) + -8 Remove parenthesis around (-10 + 3x) -10 + 3x + 2x = 3(3x + -10) + -8 Combine like terms: 3x + 2x = 5x -10 + 5x = 3(3x + -10) + -8 Reorder the terms: -10 + 5x = 3(-10 + 3x) + -8 -10 + 5x = (-10 * 3 + 3x * 3) + -8 -10 + 5x = (-30 + 9x) + -8 Reorder the terms: -10 + 5x = -30 + -8 + 9x Combine like terms: -30 + -8 = -38 -10 + 5x = -38 + 9x Solving -10 + 5x = -38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 5x + -9x = -38 + 9x + -9x Combine like terms: 5x + -9x = -4x -10 + -4x = -38 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -4x = -38 + 0 -10 + -4x = -38 Add '10' to each side of the equation. -10 + 10 + -4x = -38 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -38 + 10 -4x = -38 + 10 Combine like terms: -38 + 10 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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