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Simplifying 11 + 4(3x + -1) = 5(2x + 1) + 2(2x + -5) Reorder the terms: 11 + 4(-1 + 3x) = 5(2x + 1) + 2(2x + -5) 11 + (-1 * 4 + 3x * 4) = 5(2x + 1) + 2(2x + -5) 11 + (-4 + 12x) = 5(2x + 1) + 2(2x + -5) Combine like terms: 11 + -4 = 7 7 + 12x = 5(2x + 1) + 2(2x + -5) Reorder the terms: 7 + 12x = 5(1 + 2x) + 2(2x + -5) 7 + 12x = (1 * 5 + 2x * 5) + 2(2x + -5) 7 + 12x = (5 + 10x) + 2(2x + -5) Reorder the terms: 7 + 12x = 5 + 10x + 2(-5 + 2x) 7 + 12x = 5 + 10x + (-5 * 2 + 2x * 2) 7 + 12x = 5 + 10x + (-10 + 4x) Reorder the terms: 7 + 12x = 5 + -10 + 10x + 4x Combine like terms: 5 + -10 = -5 7 + 12x = -5 + 10x + 4x Combine like terms: 10x + 4x = 14x 7 + 12x = -5 + 14x Solving 7 + 12x = -5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 12x + -14x = -5 + 14x + -14x Combine like terms: 12x + -14x = -2x 7 + -2x = -5 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -2x = -5 + 0 7 + -2x = -5 Add '-7' to each side of the equation. 7 + -7 + -2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -5 + -7 -2x = -5 + -7 Combine like terms: -5 + -7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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