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Simplifying 2x + 23 = 5(6 + 6x) + -7 Reorder the terms: 23 + 2x = 5(6 + 6x) + -7 23 + 2x = (6 * 5 + 6x * 5) + -7 23 + 2x = (30 + 30x) + -7 Reorder the terms: 23 + 2x = 30 + -7 + 30x Combine like terms: 30 + -7 = 23 23 + 2x = 23 + 30x Add '-23' to each side of the equation. 23 + -23 + 2x = 23 + -23 + 30x Combine like terms: 23 + -23 = 0 0 + 2x = 23 + -23 + 30x 2x = 23 + -23 + 30x Combine like terms: 23 + -23 = 0 2x = 0 + 30x 2x = 30x Solving 2x = 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. 2x + -30x = 30x + -30x Combine like terms: 2x + -30x = -28x -28x = 30x + -30x Combine like terms: 30x + -30x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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