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Simplifying 5(3x + -4) = 4(2x + -3) Reorder the terms: 5(-4 + 3x) = 4(2x + -3) (-4 * 5 + 3x * 5) = 4(2x + -3) (-20 + 15x) = 4(2x + -3) Reorder the terms: -20 + 15x = 4(-3 + 2x) -20 + 15x = (-3 * 4 + 2x * 4) -20 + 15x = (-12 + 8x) Solving -20 + 15x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 15x + -8x = -12 + 8x + -8x Combine like terms: 15x + -8x = 7x -20 + 7x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 7x = -12 + 0 -20 + 7x = -12 Add '20' to each side of the equation. -20 + 20 + 7x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = -12 + 20 7x = -12 + 20 Combine like terms: -12 + 20 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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