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Simplifying -4(-7x + 7) + -6x = 4(x + -9) + -6 Reorder the terms: -4(7 + -7x) + -6x = 4(x + -9) + -6 (7 * -4 + -7x * -4) + -6x = 4(x + -9) + -6 (-28 + 28x) + -6x = 4(x + -9) + -6 Combine like terms: 28x + -6x = 22x -28 + 22x = 4(x + -9) + -6 Reorder the terms: -28 + 22x = 4(-9 + x) + -6 -28 + 22x = (-9 * 4 + x * 4) + -6 -28 + 22x = (-36 + 4x) + -6 Reorder the terms: -28 + 22x = -36 + -6 + 4x Combine like terms: -36 + -6 = -42 -28 + 22x = -42 + 4x Solving -28 + 22x = -42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 22x + -4x = -42 + 4x + -4x Combine like terms: 22x + -4x = 18x -28 + 18x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 18x = -42 + 0 -28 + 18x = -42 Add '28' to each side of the equation. -28 + 28 + 18x = -42 + 28 Combine like terms: -28 + 28 = 0 0 + 18x = -42 + 28 18x = -42 + 28 Combine like terms: -42 + 28 = -14 18x = -14 Divide each side by '18'. x = -0.7777777778 Simplifying x = -0.7777777778
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