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Simplifying 3(x + 6) = 10x + -5 Reorder the terms: 3(6 + x) = 10x + -5 (6 * 3 + x * 3) = 10x + -5 (18 + 3x) = 10x + -5 Reorder the terms: 18 + 3x = -5 + 10x Solving 18 + 3x = -5 + 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. 18 + 3x + -10x = -5 + 10x + -10x Combine like terms: 3x + -10x = -7x 18 + -7x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -7x = -5 + 0 18 + -7x = -5 Add '-18' to each side of the equation. 18 + -18 + -7x = -5 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -5 + -18 -7x = -5 + -18 Combine like terms: -5 + -18 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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