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Simplifying 6x + -10 = 3x + 5 + 3(3x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 3(3x + -5) Reorder the terms: -10 + 6x = 3x + 5 + 3(-5 + 3x) -10 + 6x = 3x + 5 + (-5 * 3 + 3x * 3) -10 + 6x = 3x + 5 + (-15 + 9x) Reorder the terms: -10 + 6x = 5 + -15 + 3x + 9x Combine like terms: 5 + -15 = -10 -10 + 6x = -10 + 3x + 9x Combine like terms: 3x + 9x = 12x -10 + 6x = -10 + 12x Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 12x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 12x 6x = -10 + 10 + 12x Combine like terms: -10 + 10 = 0 6x = 0 + 12x 6x = 12x Solving 6x = 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. 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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