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Simplifying 7 + -3x + 5 = -2x + -3 + 12x + 2 Reorder the terms: 7 + 5 + -3x = -2x + -3 + 12x + 2 Combine like terms: 7 + 5 = 12 12 + -3x = -2x + -3 + 12x + 2 Reorder the terms: 12 + -3x = -3 + 2 + -2x + 12x Combine like terms: -3 + 2 = -1 12 + -3x = -1 + -2x + 12x Combine like terms: -2x + 12x = 10x 12 + -3x = -1 + 10x Solving 12 + -3x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -3x + -10x = -1 + 10x + -10x Combine like terms: -3x + -10x = -13x 12 + -13x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -13x = -1 + 0 12 + -13x = -1 Add '-12' to each side of the equation. 12 + -12 + -13x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -1 + -12 -13x = -1 + -12 Combine like terms: -1 + -12 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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