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Simplifying 4(2x + 3) + -3(4x + -2) = 5(4x + -7) Reorder the terms: 4(3 + 2x) + -3(4x + -2) = 5(4x + -7) (3 * 4 + 2x * 4) + -3(4x + -2) = 5(4x + -7) (12 + 8x) + -3(4x + -2) = 5(4x + -7) Reorder the terms: 12 + 8x + -3(-2 + 4x) = 5(4x + -7) 12 + 8x + (-2 * -3 + 4x * -3) = 5(4x + -7) 12 + 8x + (6 + -12x) = 5(4x + -7) Reorder the terms: 12 + 6 + 8x + -12x = 5(4x + -7) Combine like terms: 12 + 6 = 18 18 + 8x + -12x = 5(4x + -7) Combine like terms: 8x + -12x = -4x 18 + -4x = 5(4x + -7) Reorder the terms: 18 + -4x = 5(-7 + 4x) 18 + -4x = (-7 * 5 + 4x * 5) 18 + -4x = (-35 + 20x) Solving 18 + -4x = -35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 18 + -4x + -20x = -35 + 20x + -20x Combine like terms: -4x + -20x = -24x 18 + -24x = -35 + 20x + -20x Combine like terms: 20x + -20x = 0 18 + -24x = -35 + 0 18 + -24x = -35 Add '-18' to each side of the equation. 18 + -18 + -24x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -24x = -35 + -18 -24x = -35 + -18 Combine like terms: -35 + -18 = -53 -24x = -53 Divide each side by '-24'. x = 2.208333333 Simplifying x = 2.208333333
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