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Simplifying 4(x + 3) + 2(x + -5) = 3x + 11 Reorder the terms: 4(3 + x) + 2(x + -5) = 3x + 11 (3 * 4 + x * 4) + 2(x + -5) = 3x + 11 (12 + 4x) + 2(x + -5) = 3x + 11 Reorder the terms: 12 + 4x + 2(-5 + x) = 3x + 11 12 + 4x + (-5 * 2 + x * 2) = 3x + 11 12 + 4x + (-10 + 2x) = 3x + 11 Reorder the terms: 12 + -10 + 4x + 2x = 3x + 11 Combine like terms: 12 + -10 = 2 2 + 4x + 2x = 3x + 11 Combine like terms: 4x + 2x = 6x 2 + 6x = 3x + 11 Reorder the terms: 2 + 6x = 11 + 3x Solving 2 + 6x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 6x + -3x = 11 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = 11 + 0 2 + 3x = 11 Add '-2' to each side of the equation. 2 + -2 + 3x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 11 + -2 3x = 11 + -2 Combine like terms: 11 + -2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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