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Simplifying 10x + 30 = 23x + 30(-2) Reorder the terms: 30 + 10x = 23x + 30(-2) Multiply 30 * -2 30 + 10x = 23x + -60 Reorder the terms: 30 + 10x = -60 + 23x Solving 30 + 10x = -60 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 30 + 10x + -23x = -60 + 23x + -23x Combine like terms: 10x + -23x = -13x 30 + -13x = -60 + 23x + -23x Combine like terms: 23x + -23x = 0 30 + -13x = -60 + 0 30 + -13x = -60 Add '-30' to each side of the equation. 30 + -30 + -13x = -60 + -30 Combine like terms: 30 + -30 = 0 0 + -13x = -60 + -30 -13x = -60 + -30 Combine like terms: -60 + -30 = -90 -13x = -90 Divide each side by '-13'. x = 6.923076923 Simplifying x = 6.923076923
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