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Simplifying 4(3x + -3) + 7 = 3x + 15 Reorder the terms: 4(-3 + 3x) + 7 = 3x + 15 (-3 * 4 + 3x * 4) + 7 = 3x + 15 (-12 + 12x) + 7 = 3x + 15 Reorder the terms: -12 + 7 + 12x = 3x + 15 Combine like terms: -12 + 7 = -5 -5 + 12x = 3x + 15 Reorder the terms: -5 + 12x = 15 + 3x Solving -5 + 12x = 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. -5 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -5 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 9x = 15 + 0 -5 + 9x = 15 Add '5' to each side of the equation. -5 + 5 + 9x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 15 + 5 9x = 15 + 5 Combine like terms: 15 + 5 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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