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Simplifying 6(3x + 5) = 216 * 6(2x) Reorder the terms: 6(5 + 3x) = 216 * 6(2x) (5 * 6 + 3x * 6) = 216 * 6(2x) (30 + 18x) = 216 * 6(2x) Remove parenthesis around (2x) 30 + 18x = 216 * 6 * 2x Multiply 216 * 6 30 + 18x = 1296 * 2x Multiply 1296 * 2 30 + 18x = 2592x Solving 30 + 18x = 2592x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2592x' to each side of the equation. 30 + 18x + -2592x = 2592x + -2592x Combine like terms: 18x + -2592x = -2574x 30 + -2574x = 2592x + -2592x Combine like terms: 2592x + -2592x = 0 30 + -2574x = 0 Add '-30' to each side of the equation. 30 + -30 + -2574x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2574x = 0 + -30 -2574x = 0 + -30 Combine like terms: 0 + -30 = -30 -2574x = -30 Divide each side by '-2574'. x = 0.01165501166 Simplifying x = 0.01165501166
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