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Simplifying -4(1 + 7x) + 6(x + -4) = 8x + 6 + 3x + -1 (1 * -4 + 7x * -4) + 6(x + -4) = 8x + 6 + 3x + -1 (-4 + -28x) + 6(x + -4) = 8x + 6 + 3x + -1 Reorder the terms: -4 + -28x + 6(-4 + x) = 8x + 6 + 3x + -1 -4 + -28x + (-4 * 6 + x * 6) = 8x + 6 + 3x + -1 -4 + -28x + (-24 + 6x) = 8x + 6 + 3x + -1 Reorder the terms: -4 + -24 + -28x + 6x = 8x + 6 + 3x + -1 Combine like terms: -4 + -24 = -28 -28 + -28x + 6x = 8x + 6 + 3x + -1 Combine like terms: -28x + 6x = -22x -28 + -22x = 8x + 6 + 3x + -1 Reorder the terms: -28 + -22x = 6 + -1 + 8x + 3x Combine like terms: 6 + -1 = 5 -28 + -22x = 5 + 8x + 3x Combine like terms: 8x + 3x = 11x -28 + -22x = 5 + 11x Solving -28 + -22x = 5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -28 + -22x + -11x = 5 + 11x + -11x Combine like terms: -22x + -11x = -33x -28 + -33x = 5 + 11x + -11x Combine like terms: 11x + -11x = 0 -28 + -33x = 5 + 0 -28 + -33x = 5 Add '28' to each side of the equation. -28 + 28 + -33x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + -33x = 5 + 28 -33x = 5 + 28 Combine like terms: 5 + 28 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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