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Simplifying 12x + 3 = (7x + 4) + -5(-3x) Reorder the terms: 3 + 12x = (7x + 4) + -5(-3x) Reorder the terms: 3 + 12x = (4 + 7x) + -5(-3x) Remove parenthesis around (4 + 7x) 3 + 12x = 4 + 7x + -5(-3x) Remove parenthesis around (-3x) 3 + 12x = 4 + 7x + -5 * -3x Multiply -5 * -3 3 + 12x = 4 + 7x + 15x Combine like terms: 7x + 15x = 22x 3 + 12x = 4 + 22x Solving 3 + 12x = 4 + 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. 3 + 12x + -22x = 4 + 22x + -22x Combine like terms: 12x + -22x = -10x 3 + -10x = 4 + 22x + -22x Combine like terms: 22x + -22x = 0 3 + -10x = 4 + 0 3 + -10x = 4 Add '-3' to each side of the equation. 3 + -3 + -10x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 4 + -3 -10x = 4 + -3 Combine like terms: 4 + -3 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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