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Simplifying 10x + -3(x + 6) = x + 30 Reorder the terms: 10x + -3(6 + x) = x + 30 10x + (6 * -3 + x * -3) = x + 30 10x + (-18 + -3x) = x + 30 Reorder the terms: -18 + 10x + -3x = x + 30 Combine like terms: 10x + -3x = 7x -18 + 7x = x + 30 Reorder the terms: -18 + 7x = 30 + x Solving -18 + 7x = 30 + 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 = 30 + x + -1x Combine like terms: 7x + -1x = 6x -18 + 6x = 30 + x + -1x Combine like terms: x + -1x = 0 -18 + 6x = 30 + 0 -18 + 6x = 30 Add '18' to each side of the equation. -18 + 18 + 6x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 30 + 18 6x = 30 + 18 Combine like terms: 30 + 18 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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