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Simplifying 7x + -12 = 4x + 9(2x + -3) Reorder the terms: -12 + 7x = 4x + 9(2x + -3) Reorder the terms: -12 + 7x = 4x + 9(-3 + 2x) -12 + 7x = 4x + (-3 * 9 + 2x * 9) -12 + 7x = 4x + (-27 + 18x) Reorder the terms: -12 + 7x = -27 + 4x + 18x Combine like terms: 4x + 18x = 22x -12 + 7x = -27 + 22x Solving -12 + 7x = -27 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -12 + 7x + -22x = -27 + 22x + -22x Combine like terms: 7x + -22x = -15x -12 + -15x = -27 + 22x + -22x Combine like terms: 22x + -22x = 0 -12 + -15x = -27 + 0 -12 + -15x = -27 Add '12' to each side of the equation. -12 + 12 + -15x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = -27 + 12 -15x = -27 + 12 Combine like terms: -27 + 12 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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