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Simplifying 4(4x + 5) = 6(6x + -3) Reorder the terms: 4(5 + 4x) = 6(6x + -3) (5 * 4 + 4x * 4) = 6(6x + -3) (20 + 16x) = 6(6x + -3) Reorder the terms: 20 + 16x = 6(-3 + 6x) 20 + 16x = (-3 * 6 + 6x * 6) 20 + 16x = (-18 + 36x) Solving 20 + 16x = -18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 20 + 16x + -36x = -18 + 36x + -36x Combine like terms: 16x + -36x = -20x 20 + -20x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 20 + -20x = -18 + 0 20 + -20x = -18 Add '-20' to each side of the equation. 20 + -20 + -20x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = -18 + -20 -20x = -18 + -20 Combine like terms: -18 + -20 = -38 -20x = -38 Divide each side by '-20'. x = 1.9 Simplifying x = 1.9
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