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Simplifying 10x + 2(x + 3) + -4 = 4(x + 2) + 2 Reorder the terms: 10x + 2(3 + x) + -4 = 4(x + 2) + 2 10x + (3 * 2 + x * 2) + -4 = 4(x + 2) + 2 10x + (6 + 2x) + -4 = 4(x + 2) + 2 Reorder the terms: 6 + -4 + 10x + 2x = 4(x + 2) + 2 Combine like terms: 6 + -4 = 2 2 + 10x + 2x = 4(x + 2) + 2 Combine like terms: 10x + 2x = 12x 2 + 12x = 4(x + 2) + 2 Reorder the terms: 2 + 12x = 4(2 + x) + 2 2 + 12x = (2 * 4 + x * 4) + 2 2 + 12x = (8 + 4x) + 2 Reorder the terms: 2 + 12x = 8 + 2 + 4x Combine like terms: 8 + 2 = 10 2 + 12x = 10 + 4x Solving 2 + 12x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 12x + -4x = 10 + 4x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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