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Simplifying 3x + -13 + 3 = 12x + -15 + -4 Reorder the terms: -13 + 3 + 3x = 12x + -15 + -4 Combine like terms: -13 + 3 = -10 -10 + 3x = 12x + -15 + -4 Reorder the terms: -10 + 3x = -15 + -4 + 12x Combine like terms: -15 + -4 = -19 -10 + 3x = -19 + 12x Solving -10 + 3x = -19 + 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 + 3x + -12x = -19 + 12x + -12x Combine like terms: 3x + -12x = -9x -10 + -9x = -19 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -9x = -19 + 0 -10 + -9x = -19 Add '10' to each side of the equation. -10 + 10 + -9x = -19 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -19 + 10 -9x = -19 + 10 Combine like terms: -19 + 10 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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