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Simplifying 10x + 2 = 4(3x + 5) Reorder the terms: 2 + 10x = 4(3x + 5) Reorder the terms: 2 + 10x = 4(5 + 3x) 2 + 10x = (5 * 4 + 3x * 4) 2 + 10x = (20 + 12x) Solving 2 + 10x = 20 + 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. 2 + 10x + -12x = 20 + 12x + -12x Combine like terms: 10x + -12x = -2x 2 + -2x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -2x = 20 + 0 2 + -2x = 20 Add '-2' to each side of the equation. 2 + -2 + -2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 20 + -2 -2x = 20 + -2 Combine like terms: 20 + -2 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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