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Simplifying 7(x + -4) = 4(2x + -1) Reorder the terms: 7(-4 + x) = 4(2x + -1) (-4 * 7 + x * 7) = 4(2x + -1) (-28 + 7x) = 4(2x + -1) Reorder the terms: -28 + 7x = 4(-1 + 2x) -28 + 7x = (-1 * 4 + 2x * 4) -28 + 7x = (-4 + 8x) Solving -28 + 7x = -4 + 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. -28 + 7x + -8x = -4 + 8x + -8x Combine like terms: 7x + -8x = -1x -28 + -1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + -1x = -4 + 0 -28 + -1x = -4 Add '28' to each side of the equation. -28 + 28 + -1x = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -4 + 28 -1x = -4 + 28 Combine like terms: -4 + 28 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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