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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 = -7 5[-7 + -2x + -4x] = 7x + -4 Combine like terms: -2x + -4x = -6x 5[-7 + -6x] = 7x + -4 [-7 * 5 + -6x * 5] = 7x + -4 [-35 + -30x] = 7x + -4 Reorder the terms: -35 + -30x = -4 + 7x Solving -35 + -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. -35 + -30x + -7x = -4 + 7x + -7x Combine like terms: -30x + -7x = -37x -35 + -37x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -37x = -4 + 0 -35 + -37x = -4 Add '35' to each side of the equation. -35 + 35 + -37x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -37x = -4 + 35 -37x = -4 + 35 Combine like terms: -4 + 35 = 31 -37x = 31 Divide each side by '-37'. x = -0.8378378378 Simplifying x = -0.8378378378
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