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Simplifying 3(x + 5) + -2 = 12x + -3 Reorder the terms: 3(5 + x) + -2 = 12x + -3 (5 * 3 + x * 3) + -2 = 12x + -3 (15 + 3x) + -2 = 12x + -3 Reorder the terms: 15 + -2 + 3x = 12x + -3 Combine like terms: 15 + -2 = 13 13 + 3x = 12x + -3 Reorder the terms: 13 + 3x = -3 + 12x Solving 13 + 3x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + 3x + -12x = -3 + 12x + -12x Combine like terms: 3x + -12x = -9x 13 + -9x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -9x = -3 + 0 13 + -9x = -3 Add '-13' to each side of the equation. 13 + -13 + -9x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = -3 + -13 -9x = -3 + -13 Combine like terms: -3 + -13 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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