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Simplifying 5x + 12 = 3(3x + -1) Reorder the terms: 12 + 5x = 3(3x + -1) Reorder the terms: 12 + 5x = 3(-1 + 3x) 12 + 5x = (-1 * 3 + 3x * 3) 12 + 5x = (-3 + 9x) Solving 12 + 5x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 5x + -9x = -3 + 9x + -9x Combine like terms: 5x + -9x = -4x 12 + -4x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -4x = -3 + 0 12 + -4x = -3 Add '-12' to each side of the equation. 12 + -12 + -4x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -3 + -12 -4x = -3 + -12 Combine like terms: -3 + -12 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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