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Simplifying 12 + -45 = 6(x + -1) + -3 Combine like terms: 12 + -45 = -33 -33 = 6(x + -1) + -3 Reorder the terms: -33 = 6(-1 + x) + -3 -33 = (-1 * 6 + x * 6) + -3 -33 = (-6 + 6x) + -3 Reorder the terms: -33 = -6 + -3 + 6x Combine like terms: -6 + -3 = -9 -33 = -9 + 6x Solving -33 = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -33 + -6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + -6x = -9 + 0 -33 + -6x = -9 Add '33' to each side of the equation. -33 + 33 + -6x = -9 + 33 Combine like terms: -33 + 33 = 0 0 + -6x = -9 + 33 -6x = -9 + 33 Combine like terms: -9 + 33 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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