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Simplifying 10(x + 3) + 8 = 18x + 30 Reorder the terms: 10(3 + x) + 8 = 18x + 30 (3 * 10 + x * 10) + 8 = 18x + 30 (30 + 10x) + 8 = 18x + 30 Reorder the terms: 30 + 8 + 10x = 18x + 30 Combine like terms: 30 + 8 = 38 38 + 10x = 18x + 30 Reorder the terms: 38 + 10x = 30 + 18x Solving 38 + 10x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 38 + 10x + -18x = 30 + 18x + -18x Combine like terms: 10x + -18x = -8x 38 + -8x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 38 + -8x = 30 + 0 38 + -8x = 30 Add '-38' to each side of the equation. 38 + -38 + -8x = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = 30 + -38 -8x = 30 + -38 Combine like terms: 30 + -38 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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