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Simplifying 4(2x + 5) = 6(3x + -5) Reorder the terms: 4(5 + 2x) = 6(3x + -5) (5 * 4 + 2x * 4) = 6(3x + -5) (20 + 8x) = 6(3x + -5) Reorder the terms: 20 + 8x = 6(-5 + 3x) 20 + 8x = (-5 * 6 + 3x * 6) 20 + 8x = (-30 + 18x) Solving 20 + 8x = -30 + 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 + 8x + -18x = -30 + 18x + -18x Combine like terms: 8x + -18x = -10x 20 + -10x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -10x = -30 + 0 20 + -10x = -30 Add '-20' to each side of the equation. 20 + -20 + -10x = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -30 + -20 -10x = -30 + -20 Combine like terms: -30 + -20 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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