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Simplifying 7x + 12 = 3(5x + -9) Reorder the terms: 12 + 7x = 3(5x + -9) Reorder the terms: 12 + 7x = 3(-9 + 5x) 12 + 7x = (-9 * 3 + 5x * 3) 12 + 7x = (-27 + 15x) Solving 12 + 7x = -27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 7x + -15x = -27 + 15x + -15x Combine like terms: 7x + -15x = -8x 12 + -8x = -27 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -8x = -27 + 0 12 + -8x = -27 Add '-12' to each side of the equation. 12 + -12 + -8x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -27 + -12 -8x = -27 + -12 Combine like terms: -27 + -12 = -39 -8x = -39 Divide each side by '-8'. x = 4.875 Simplifying x = 4.875
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