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Simplifying 3(x + -2) + 5(x + 11 + -3x) = 21 Reorder the terms: 3(-2 + x) + 5(x + 11 + -3x) = 21 (-2 * 3 + x * 3) + 5(x + 11 + -3x) = 21 (-6 + 3x) + 5(x + 11 + -3x) = 21 Reorder the terms: -6 + 3x + 5(11 + x + -3x) = 21 Combine like terms: x + -3x = -2x -6 + 3x + 5(11 + -2x) = 21 -6 + 3x + (11 * 5 + -2x * 5) = 21 -6 + 3x + (55 + -10x) = 21 Reorder the terms: -6 + 55 + 3x + -10x = 21 Combine like terms: -6 + 55 = 49 49 + 3x + -10x = 21 Combine like terms: 3x + -10x = -7x 49 + -7x = 21 Solving 49 + -7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -7x = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -7x = 21 + -49 -7x = 21 + -49 Combine like terms: 21 + -49 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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