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Simplifying 5x + 12 = 12x + -6 + x + 10 Reorder the terms: 12 + 5x = 12x + -6 + x + 10 Reorder the terms: 12 + 5x = -6 + 10 + 12x + x Combine like terms: -6 + 10 = 4 12 + 5x = 4 + 12x + x Combine like terms: 12x + x = 13x 12 + 5x = 4 + 13x Solving 12 + 5x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 5x + -13x = 4 + 13x + -13x Combine like terms: 5x + -13x = -8x 12 + -8x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -8x = 4 + 0 12 + -8x = 4 Add '-12' to each side of the equation. 12 + -12 + -8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 4 + -12 -8x = 4 + -12 Combine like terms: 4 + -12 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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