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Simplifying 3(2x + -5) + -3 = 3(x + -2) + 9 Reorder the terms: 3(-5 + 2x) + -3 = 3(x + -2) + 9 (-5 * 3 + 2x * 3) + -3 = 3(x + -2) + 9 (-15 + 6x) + -3 = 3(x + -2) + 9 Reorder the terms: -15 + -3 + 6x = 3(x + -2) + 9 Combine like terms: -15 + -3 = -18 -18 + 6x = 3(x + -2) + 9 Reorder the terms: -18 + 6x = 3(-2 + x) + 9 -18 + 6x = (-2 * 3 + x * 3) + 9 -18 + 6x = (-6 + 3x) + 9 Reorder the terms: -18 + 6x = -6 + 9 + 3x Combine like terms: -6 + 9 = 3 -18 + 6x = 3 + 3x Solving -18 + 6x = 3 + 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 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = 3 + 0 -18 + 3x = 3 Add '18' to each side of the equation. -18 + 18 + 3x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 3 + 18 3x = 3 + 18 Combine like terms: 3 + 18 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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