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Simplifying 6(3x + 5) + -10x = 23x Reorder the terms: 6(5 + 3x) + -10x = 23x (5 * 6 + 3x * 6) + -10x = 23x (30 + 18x) + -10x = 23x Combine like terms: 18x + -10x = 8x 30 + 8x = 23x Solving 30 + 8x = 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 + 8x + -23x = 23x + -23x Combine like terms: 8x + -23x = -15x 30 + -15x = 23x + -23x Combine like terms: 23x + -23x = 0 30 + -15x = 0 Add '-30' to each side of the equation. 30 + -30 + -15x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 0 + -30 -15x = 0 + -30 Combine like terms: 0 + -30 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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