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Simplifying 10x + -3(x + -6) = x + 390 Reorder the terms: 10x + -3(-6 + x) = x + 390 10x + (-6 * -3 + x * -3) = x + 390 10x + (18 + -3x) = x + 390 Reorder the terms: 18 + 10x + -3x = x + 390 Combine like terms: 10x + -3x = 7x 18 + 7x = x + 390 Reorder the terms: 18 + 7x = 390 + x Solving 18 + 7x = 390 + x 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. 18 + 7x + -1x = 390 + x + -1x Combine like terms: 7x + -1x = 6x 18 + 6x = 390 + x + -1x Combine like terms: x + -1x = 0 18 + 6x = 390 + 0 18 + 6x = 390 Add '-18' to each side of the equation. 18 + -18 + 6x = 390 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 390 + -18 6x = 390 + -18 Combine like terms: 390 + -18 = 372 6x = 372 Divide each side by '6'. x = 62 Simplifying x = 62
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