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Simplifying 14 + -47 = 3(x + -1) + -9 Combine like terms: 14 + -47 = -33 -33 = 3(x + -1) + -9 Reorder the terms: -33 = 3(-1 + x) + -9 -33 = (-1 * 3 + x * 3) + -9 -33 = (-3 + 3x) + -9 Reorder the terms: -33 = -3 + -9 + 3x Combine like terms: -3 + -9 = -12 -33 = -12 + 3x Solving -33 = -12 + 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. -33 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + -3x = -12 + 0 -33 + -3x = -12 Add '33' to each side of the equation. -33 + 33 + -3x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = -12 + 33 -3x = -12 + 33 Combine like terms: -12 + 33 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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