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Simplifying -3x + 6 = 10x + 27 Reorder the terms: 6 + -3x = 10x + 27 Reorder the terms: 6 + -3x = 27 + 10x Solving 6 + -3x = 27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -3x + -10x = 27 + 10x + -10x Combine like terms: -3x + -10x = -13x 6 + -13x = 27 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -13x = 27 + 0 6 + -13x = 27 Add '-6' to each side of the equation. 6 + -6 + -13x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 27 + -6 -13x = 27 + -6 Combine like terms: 27 + -6 = 21 -13x = 21 Divide each side by '-13'. x = -1.615384615 Simplifying x = -1.615384615
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