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Simplifying 3(3x + -4) + -3 = 3(x + -2) + 27 Reorder the terms: 3(-4 + 3x) + -3 = 3(x + -2) + 27 (-4 * 3 + 3x * 3) + -3 = 3(x + -2) + 27 (-12 + 9x) + -3 = 3(x + -2) + 27 Reorder the terms: -12 + -3 + 9x = 3(x + -2) + 27 Combine like terms: -12 + -3 = -15 -15 + 9x = 3(x + -2) + 27 Reorder the terms: -15 + 9x = 3(-2 + x) + 27 -15 + 9x = (-2 * 3 + x * 3) + 27 -15 + 9x = (-6 + 3x) + 27 Reorder the terms: -15 + 9x = -6 + 27 + 3x Combine like terms: -6 + 27 = 21 -15 + 9x = 21 + 3x Solving -15 + 9x = 21 + 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. -15 + 9x + -3x = 21 + 3x + -3x Combine like terms: 9x + -3x = 6x -15 + 6x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 6x = 21 + 0 -15 + 6x = 21 Add '15' to each side of the equation. -15 + 15 + 6x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 21 + 15 6x = 21 + 15 Combine like terms: 21 + 15 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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