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Simplifying 4(x + 5) = 12(7x + -3) Reorder the terms: 4(5 + x) = 12(7x + -3) (5 * 4 + x * 4) = 12(7x + -3) (20 + 4x) = 12(7x + -3) Reorder the terms: 20 + 4x = 12(-3 + 7x) 20 + 4x = (-3 * 12 + 7x * 12) 20 + 4x = (-36 + 84x) Solving 20 + 4x = -36 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 20 + 4x + -84x = -36 + 84x + -84x Combine like terms: 4x + -84x = -80x 20 + -80x = -36 + 84x + -84x Combine like terms: 84x + -84x = 0 20 + -80x = -36 + 0 20 + -80x = -36 Add '-20' to each side of the equation. 20 + -20 + -80x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -80x = -36 + -20 -80x = -36 + -20 Combine like terms: -36 + -20 = -56 -80x = -56 Divide each side by '-80'. x = 0.7 Simplifying x = 0.7
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