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Simplifying 3x + 13 + -6x = 15x + 12x + -5 Reorder the terms: 13 + 3x + -6x = 15x + 12x + -5 Combine like terms: 3x + -6x = -3x 13 + -3x = 15x + 12x + -5 Reorder the terms: 13 + -3x = -5 + 15x + 12x Combine like terms: 15x + 12x = 27x 13 + -3x = -5 + 27x Solving 13 + -3x = -5 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 13 + -3x + -27x = -5 + 27x + -27x Combine like terms: -3x + -27x = -30x 13 + -30x = -5 + 27x + -27x Combine like terms: 27x + -27x = 0 13 + -30x = -5 + 0 13 + -30x = -5 Add '-13' to each side of the equation. 13 + -13 + -30x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -30x = -5 + -13 -30x = -5 + -13 Combine like terms: -5 + -13 = -18 -30x = -18 Divide each side by '-30'. x = 0.6 Simplifying x = 0.6
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