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Simplifying 5x + -3(2x + 1) = 21 + x Reorder the terms: 5x + -3(1 + 2x) = 21 + x 5x + (1 * -3 + 2x * -3) = 21 + x 5x + (-3 + -6x) = 21 + x Reorder the terms: -3 + 5x + -6x = 21 + x Combine like terms: 5x + -6x = -1x -3 + -1x = 21 + x Solving -3 + -1x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + -1x + -1x = 21 + x + -1x Combine like terms: -1x + -1x = -2x -3 + -2x = 21 + x + -1x Combine like terms: x + -1x = 0 -3 + -2x = 21 + 0 -3 + -2x = 21 Add '3' to each side of the equation. -3 + 3 + -2x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 21 + 3 -2x = 21 + 3 Combine like terms: 21 + 3 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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