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Simplifying 3(4x + -3) + 3 = 30 + 3x Reorder the terms: 3(-3 + 4x) + 3 = 30 + 3x (-3 * 3 + 4x * 3) + 3 = 30 + 3x (-9 + 12x) + 3 = 30 + 3x Reorder the terms: -9 + 3 + 12x = 30 + 3x Combine like terms: -9 + 3 = -6 -6 + 12x = 30 + 3x Solving -6 + 12x = 30 + 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. -6 + 12x + -3x = 30 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = 30 + 0 -6 + 9x = 30 Add '6' to each side of the equation. -6 + 6 + 9x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 30 + 6 9x = 30 + 6 Combine like terms: 30 + 6 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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