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Simplifying 5[-2x + -3 + -4(x + -1)] = 7x + -4 Reorder the terms: 5[-2x + -3 + -4(-1 + x)] = 7x + -4 5[-2x + -3 + (-1 * -4 + x * -4)] = 7x + -4 5[-2x + -3 + (4 + -4x)] = 7x + -4 Reorder the terms: 5[-3 + 4 + -2x + -4x] = 7x + -4 Combine like terms: -3 + 4 = 1 5[1 + -2x + -4x] = 7x + -4 Combine like terms: -2x + -4x = -6x 5[1 + -6x] = 7x + -4 [1 * 5 + -6x * 5] = 7x + -4 [5 + -30x] = 7x + -4 Reorder the terms: 5 + -30x = -4 + 7x Solving 5 + -30x = -4 + 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. 5 + -30x + -7x = -4 + 7x + -7x Combine like terms: -30x + -7x = -37x 5 + -37x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -37x = -4 + 0 5 + -37x = -4 Add '-5' to each side of the equation. 5 + -5 + -37x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -37x = -4 + -5 -37x = -4 + -5 Combine like terms: -4 + -5 = -9 -37x = -9 Divide each side by '-37'. x = 0.2432432432 Simplifying x = 0.2432432432
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