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Simplifying 4x + -10 + 2x = 3(5x + -5) + 2 Reorder the terms: -10 + 4x + 2x = 3(5x + -5) + 2 Combine like terms: 4x + 2x = 6x -10 + 6x = 3(5x + -5) + 2 Reorder the terms: -10 + 6x = 3(-5 + 5x) + 2 -10 + 6x = (-5 * 3 + 5x * 3) + 2 -10 + 6x = (-15 + 15x) + 2 Reorder the terms: -10 + 6x = -15 + 2 + 15x Combine like terms: -15 + 2 = -13 -10 + 6x = -13 + 15x Solving -10 + 6x = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 6x + -15x = -13 + 15x + -15x Combine like terms: 6x + -15x = -9x -10 + -9x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -9x = -13 + 0 -10 + -9x = -13 Add '10' to each side of the equation. -10 + 10 + -9x = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -13 + 10 -9x = -13 + 10 Combine like terms: -13 + 10 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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