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Simplifying 12x + -2 + -10x = 10(x + 3) + 8 Reorder the terms: -2 + 12x + -10x = 10(x + 3) + 8 Combine like terms: 12x + -10x = 2x -2 + 2x = 10(x + 3) + 8 Reorder the terms: -2 + 2x = 10(3 + x) + 8 -2 + 2x = (3 * 10 + x * 10) + 8 -2 + 2x = (30 + 10x) + 8 Reorder the terms: -2 + 2x = 30 + 8 + 10x Combine like terms: 30 + 8 = 38 -2 + 2x = 38 + 10x Solving -2 + 2x = 38 + 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. -2 + 2x + -10x = 38 + 10x + -10x Combine like terms: 2x + -10x = -8x -2 + -8x = 38 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -8x = 38 + 0 -2 + -8x = 38 Add '2' to each side of the equation. -2 + 2 + -8x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 38 + 2 -8x = 38 + 2 Combine like terms: 38 + 2 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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