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Simplifying 2(x + 4) + 3 = 10x + 2(x + 3) Reorder the terms: 2(4 + x) + 3 = 10x + 2(x + 3) (4 * 2 + x * 2) + 3 = 10x + 2(x + 3) (8 + 2x) + 3 = 10x + 2(x + 3) Reorder the terms: 8 + 3 + 2x = 10x + 2(x + 3) Combine like terms: 8 + 3 = 11 11 + 2x = 10x + 2(x + 3) Reorder the terms: 11 + 2x = 10x + 2(3 + x) 11 + 2x = 10x + (3 * 2 + x * 2) 11 + 2x = 10x + (6 + 2x) Reorder the terms: 11 + 2x = 6 + 10x + 2x Combine like terms: 10x + 2x = 12x 11 + 2x = 6 + 12x Solving 11 + 2x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + 2x + -12x = 6 + 12x + -12x Combine like terms: 2x + -12x = -10x 11 + -10x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -10x = 6 + 0 11 + -10x = 6 Add '-11' to each side of the equation. 11 + -11 + -10x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 6 + -11 -10x = 6 + -11 Combine like terms: 6 + -11 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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