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Simplifying 5(x + 4) = 6(3x + -2) Reorder the terms: 5(4 + x) = 6(3x + -2) (4 * 5 + x * 5) = 6(3x + -2) (20 + 5x) = 6(3x + -2) Reorder the terms: 20 + 5x = 6(-2 + 3x) 20 + 5x = (-2 * 6 + 3x * 6) 20 + 5x = (-12 + 18x) Solving 20 + 5x = -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. 20 + 5x + -18x = -12 + 18x + -18x Combine like terms: 5x + -18x = -13x 20 + -13x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -13x = -12 + 0 20 + -13x = -12 Add '-20' to each side of the equation. 20 + -20 + -13x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -12 + -20 -13x = -12 + -20 Combine like terms: -12 + -20 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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