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Simplifying 1.75(x + 5) = -5(x + 3) + 4x Reorder the terms: 1.75(5 + x) = -5(x + 3) + 4x (5 * 1.75 + x * 1.75) = -5(x + 3) + 4x (8.75 + 1.75x) = -5(x + 3) + 4x Reorder the terms: 8.75 + 1.75x = -5(3 + x) + 4x 8.75 + 1.75x = (3 * -5 + x * -5) + 4x 8.75 + 1.75x = (-15 + -5x) + 4x Combine like terms: -5x + 4x = -1x 8.75 + 1.75x = -15 + -1x Solving 8.75 + 1.75x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8.75 + 1.75x + x = -15 + -1x + x Combine like terms: 1.75x + x = 2.75x 8.75 + 2.75x = -15 + -1x + x Combine like terms: -1x + x = 0 8.75 + 2.75x = -15 + 0 8.75 + 2.75x = -15 Add '-8.75' to each side of the equation. 8.75 + -8.75 + 2.75x = -15 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 2.75x = -15 + -8.75 2.75x = -15 + -8.75 Combine like terms: -15 + -8.75 = -23.75 2.75x = -23.75 Divide each side by '2.75'. x = -8.636363636 Simplifying x = -8.636363636
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