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Simplifying 4[-2x + 5 + -4(x + 1)] = 7x + 3 Reorder the terms: 4[-2x + 5 + -4(1 + x)] = 7x + 3 4[-2x + 5 + (1 * -4 + x * -4)] = 7x + 3 4[-2x + 5 + (-4 + -4x)] = 7x + 3 Reorder the terms: 4[5 + -4 + -2x + -4x] = 7x + 3 Combine like terms: 5 + -4 = 1 4[1 + -2x + -4x] = 7x + 3 Combine like terms: -2x + -4x = -6x 4[1 + -6x] = 7x + 3 [1 * 4 + -6x * 4] = 7x + 3 [4 + -24x] = 7x + 3 Reorder the terms: 4 + -24x = 3 + 7x Solving 4 + -24x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -24x + -7x = 3 + 7x + -7x Combine like terms: -24x + -7x = -31x 4 + -31x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -31x = 3 + 0 4 + -31x = 3 Add '-4' to each side of the equation. 4 + -4 + -31x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -31x = 3 + -4 -31x = 3 + -4 Combine like terms: 3 + -4 = -1 -31x = -1 Divide each side by '-31'. x = 0.03225806452 Simplifying x = 0.03225806452
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