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Simplifying 5(3x + -4) = 4(6x + 4) Reorder the terms: 5(-4 + 3x) = 4(6x + 4) (-4 * 5 + 3x * 5) = 4(6x + 4) (-20 + 15x) = 4(6x + 4) Reorder the terms: -20 + 15x = 4(4 + 6x) -20 + 15x = (4 * 4 + 6x * 4) -20 + 15x = (16 + 24x) Solving -20 + 15x = 16 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -20 + 15x + -24x = 16 + 24x + -24x Combine like terms: 15x + -24x = -9x -20 + -9x = 16 + 24x + -24x Combine like terms: 24x + -24x = 0 -20 + -9x = 16 + 0 -20 + -9x = 16 Add '20' to each side of the equation. -20 + 20 + -9x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = 16 + 20 -9x = 16 + 20 Combine like terms: 16 + 20 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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