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Simplifying 12x + -33 = 7(2x + -4) Reorder the terms: -33 + 12x = 7(2x + -4) Reorder the terms: -33 + 12x = 7(-4 + 2x) -33 + 12x = (-4 * 7 + 2x * 7) -33 + 12x = (-28 + 14x) Solving -33 + 12x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + 12x + -14x = -28 + 14x + -14x Combine like terms: 12x + -14x = -2x -33 + -2x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -2x = -28 + 0 -33 + -2x = -28 Add '33' to each side of the equation. -33 + 33 + -2x = -28 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = -28 + 33 -2x = -28 + 33 Combine like terms: -28 + 33 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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