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Simplifying 5(3x + 2) = 2(9x + -4) Reorder the terms: 5(2 + 3x) = 2(9x + -4) (2 * 5 + 3x * 5) = 2(9x + -4) (10 + 15x) = 2(9x + -4) Reorder the terms: 10 + 15x = 2(-4 + 9x) 10 + 15x = (-4 * 2 + 9x * 2) 10 + 15x = (-8 + 18x) Solving 10 + 15x = -8 + 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. 10 + 15x + -18x = -8 + 18x + -18x Combine like terms: 15x + -18x = -3x 10 + -3x = -8 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + -3x = -8 + 0 10 + -3x = -8 Add '-10' to each side of the equation. 10 + -10 + -3x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -8 + -10 -3x = -8 + -10 Combine like terms: -8 + -10 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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