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Simplifying 7x + -23 = 5(6x + -3) + -8 Reorder the terms: -23 + 7x = 5(6x + -3) + -8 Reorder the terms: -23 + 7x = 5(-3 + 6x) + -8 -23 + 7x = (-3 * 5 + 6x * 5) + -8 -23 + 7x = (-15 + 30x) + -8 Reorder the terms: -23 + 7x = -15 + -8 + 30x Combine like terms: -15 + -8 = -23 -23 + 7x = -23 + 30x Add '23' to each side of the equation. -23 + 23 + 7x = -23 + 23 + 30x Combine like terms: -23 + 23 = 0 0 + 7x = -23 + 23 + 30x 7x = -23 + 23 + 30x Combine like terms: -23 + 23 = 0 7x = 0 + 30x 7x = 30x Solving 7x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 7x + -30x = 30x + -30x Combine like terms: 7x + -30x = -23x -23x = 30x + -30x Combine like terms: 30x + -30x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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