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Simplifying 3x + 33 + 6x + 30 = 10x + 45 Reorder the terms: 33 + 30 + 3x + 6x = 10x + 45 Combine like terms: 33 + 30 = 63 63 + 3x + 6x = 10x + 45 Combine like terms: 3x + 6x = 9x 63 + 9x = 10x + 45 Reorder the terms: 63 + 9x = 45 + 10x Solving 63 + 9x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 63 + 9x + -10x = 45 + 10x + -10x Combine like terms: 9x + -10x = -1x 63 + -1x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 63 + -1x = 45 + 0 63 + -1x = 45 Add '-63' to each side of the equation. 63 + -63 + -1x = 45 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 45 + -63 -1x = 45 + -63 Combine like terms: 45 + -63 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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