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Simplifying 12x + 10 = 8x + 5x + 3 Reorder the terms: 10 + 12x = 8x + 5x + 3 Reorder the terms: 10 + 12x = 3 + 8x + 5x Combine like terms: 8x + 5x = 13x 10 + 12x = 3 + 13x Solving 10 + 12x = 3 + 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. 10 + 12x + -13x = 3 + 13x + -13x Combine like terms: 12x + -13x = -1x 10 + -1x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + -1x = 3 + 0 10 + -1x = 3 Add '-10' to each side of the equation. 10 + -10 + -1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 3 + -10 -1x = 3 + -10 Combine like terms: 3 + -10 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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