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Simplifying 10x + 30 = 6x + 12 + -15x + 45 + 10x Reorder the terms: 30 + 10x = 6x + 12 + -15x + 45 + 10x Reorder the terms: 30 + 10x = 12 + 45 + 6x + -15x + 10x Combine like terms: 12 + 45 = 57 30 + 10x = 57 + 6x + -15x + 10x Combine like terms: 6x + -15x = -9x 30 + 10x = 57 + -9x + 10x Combine like terms: -9x + 10x = 1x 30 + 10x = 57 + 1x Solving 30 + 10x = 57 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 10x + -1x = 57 + 1x + -1x Combine like terms: 10x + -1x = 9x 30 + 9x = 57 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + 9x = 57 + 0 30 + 9x = 57 Add '-30' to each side of the equation. 30 + -30 + 9x = 57 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 57 + -30 9x = 57 + -30 Combine like terms: 57 + -30 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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