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Simplifying 5[7x + -8(1 + x)] = 0 5[7x + (1 * -8 + x * -8)] = 0 5[7x + (-8 + -8x)] = 0 Reorder the terms: 5[-8 + 7x + -8x] = 0 Combine like terms: 7x + -8x = -1x 5[-8 + -1x] = 0 [-8 * 5 + -1x * 5] = 0 [-40 + -5x] = 0 Solving -40 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -5x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 0 + 40 -5x = 0 + 40 Combine like terms: 0 + 40 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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