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Simplifying 7(x + -5) = 4[x + -1(4 + -1x)] Reorder the terms: 7(-5 + x) = 4[x + -1(4 + -1x)] (-5 * 7 + x * 7) = 4[x + -1(4 + -1x)] (-35 + 7x) = 4[x + -1(4 + -1x)] -35 + 7x = 4[x + (4 * -1 + -1x * -1)] -35 + 7x = 4[x + (-4 + 1x)] Reorder the terms: -35 + 7x = 4[-4 + x + 1x] Combine like terms: x + 1x = 2x -35 + 7x = 4[-4 + 2x] -35 + 7x = [-4 * 4 + 2x * 4] -35 + 7x = [-16 + 8x] Solving -35 + 7x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 7x + -8x = -16 + 8x + -8x Combine like terms: 7x + -8x = -1x -35 + -1x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -1x = -16 + 0 -35 + -1x = -16 Add '35' to each side of the equation. -35 + 35 + -1x = -16 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -16 + 35 -1x = -16 + 35 Combine like terms: -16 + 35 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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