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Simplifying 4(x + 1) = 12x + 3x + -6 Reorder the terms: 4(1 + x) = 12x + 3x + -6 (1 * 4 + x * 4) = 12x + 3x + -6 (4 + 4x) = 12x + 3x + -6 Reorder the terms: 4 + 4x = -6 + 12x + 3x Combine like terms: 12x + 3x = 15x 4 + 4x = -6 + 15x Solving 4 + 4x = -6 + 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. 4 + 4x + -15x = -6 + 15x + -15x Combine like terms: 4x + -15x = -11x 4 + -11x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -11x = -6 + 0 4 + -11x = -6 Add '-4' to each side of the equation. 4 + -4 + -11x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -6 + -4 -11x = -6 + -4 Combine like terms: -6 + -4 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091
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