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Simplifying 6(2x + 5) = 6(3x + -2) Reorder the terms: 6(5 + 2x) = 6(3x + -2) (5 * 6 + 2x * 6) = 6(3x + -2) (30 + 12x) = 6(3x + -2) Reorder the terms: 30 + 12x = 6(-2 + 3x) 30 + 12x = (-2 * 6 + 3x * 6) 30 + 12x = (-12 + 18x) Solving 30 + 12x = -12 + 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. 30 + 12x + -18x = -12 + 18x + -18x Combine like terms: 12x + -18x = -6x 30 + -6x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 30 + -6x = -12 + 0 30 + -6x = -12 Add '-30' to each side of the equation. 30 + -30 + -6x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -12 + -30 -6x = -12 + -30 Combine like terms: -12 + -30 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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