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Simplifying 4(5x + -3) = 6(3x + -5) Reorder the terms: 4(-3 + 5x) = 6(3x + -5) (-3 * 4 + 5x * 4) = 6(3x + -5) (-12 + 20x) = 6(3x + -5) Reorder the terms: -12 + 20x = 6(-5 + 3x) -12 + 20x = (-5 * 6 + 3x * 6) -12 + 20x = (-30 + 18x) Solving -12 + 20x = -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. -12 + 20x + -18x = -30 + 18x + -18x Combine like terms: 20x + -18x = 2x -12 + 2x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 2x = -30 + 0 -12 + 2x = -30 Add '12' to each side of the equation. -12 + 12 + 2x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -30 + 12 2x = -30 + 12 Combine like terms: -30 + 12 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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