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Simplifying 3(3x + -5) + -3 = 3(x + -5) + 21 Reorder the terms: 3(-5 + 3x) + -3 = 3(x + -5) + 21 (-5 * 3 + 3x * 3) + -3 = 3(x + -5) + 21 (-15 + 9x) + -3 = 3(x + -5) + 21 Reorder the terms: -15 + -3 + 9x = 3(x + -5) + 21 Combine like terms: -15 + -3 = -18 -18 + 9x = 3(x + -5) + 21 Reorder the terms: -18 + 9x = 3(-5 + x) + 21 -18 + 9x = (-5 * 3 + x * 3) + 21 -18 + 9x = (-15 + 3x) + 21 Reorder the terms: -18 + 9x = -15 + 21 + 3x Combine like terms: -15 + 21 = 6 -18 + 9x = 6 + 3x Solving -18 + 9x = 6 + 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. -18 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x -18 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 6x = 6 + 0 -18 + 6x = 6 Add '18' to each side of the equation. -18 + 18 + 6x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 6 + 18 6x = 6 + 18 Combine like terms: 6 + 18 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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