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Simplifying -47 = 3(3x + -4) + 3(3x + 2) Reorder the terms: -47 = 3(-4 + 3x) + 3(3x + 2) -47 = (-4 * 3 + 3x * 3) + 3(3x + 2) -47 = (-12 + 9x) + 3(3x + 2) Reorder the terms: -47 = -12 + 9x + 3(2 + 3x) -47 = -12 + 9x + (2 * 3 + 3x * 3) -47 = -12 + 9x + (6 + 9x) Reorder the terms: -47 = -12 + 6 + 9x + 9x Combine like terms: -12 + 6 = -6 -47 = -6 + 9x + 9x Combine like terms: 9x + 9x = 18x -47 = -6 + 18x Solving -47 = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -47 + -18x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -47 + -18x = -6 + 0 -47 + -18x = -6 Add '47' to each side of the equation. -47 + 47 + -18x = -6 + 47 Combine like terms: -47 + 47 = 0 0 + -18x = -6 + 47 -18x = -6 + 47 Combine like terms: -6 + 47 = 41 -18x = 41 Divide each side by '-18'. x = -2.277777778 Simplifying x = -2.277777778
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