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Simplifying 2(5x + 1) = 4(3x + -7) Reorder the terms: 2(1 + 5x) = 4(3x + -7) (1 * 2 + 5x * 2) = 4(3x + -7) (2 + 10x) = 4(3x + -7) Reorder the terms: 2 + 10x = 4(-7 + 3x) 2 + 10x = (-7 * 4 + 3x * 4) 2 + 10x = (-28 + 12x) Solving 2 + 10x = -28 + 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 = -28 + 12x + -12x Combine like terms: 10x + -12x = -2x 2 + -2x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -2x = -28 + 0 2 + -2x = -28 Add '-2' to each side of the equation. 2 + -2 + -2x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -28 + -2 -2x = -28 + -2 Combine like terms: -28 + -2 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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