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Simplifying 3(2x + -7) + 3 = 3x + 15 Reorder the terms: 3(-7 + 2x) + 3 = 3x + 15 (-7 * 3 + 2x * 3) + 3 = 3x + 15 (-21 + 6x) + 3 = 3x + 15 Reorder the terms: -21 + 3 + 6x = 3x + 15 Combine like terms: -21 + 3 = -18 -18 + 6x = 3x + 15 Reorder the terms: -18 + 6x = 15 + 3x Solving -18 + 6x = 15 + 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 = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = 15 + 0 -18 + 3x = 15 Add '18' to each side of the equation. -18 + 18 + 3x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 15 + 18 3x = 15 + 18 Combine like terms: 15 + 18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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