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Simplifying 9 + -7(x + 6) = 4 + 8(x + -2) + 6x Reorder the terms: 9 + -7(6 + x) = 4 + 8(x + -2) + 6x 9 + (6 * -7 + x * -7) = 4 + 8(x + -2) + 6x 9 + (-42 + -7x) = 4 + 8(x + -2) + 6x Combine like terms: 9 + -42 = -33 -33 + -7x = 4 + 8(x + -2) + 6x Reorder the terms: -33 + -7x = 4 + 8(-2 + x) + 6x -33 + -7x = 4 + (-2 * 8 + x * 8) + 6x -33 + -7x = 4 + (-16 + 8x) + 6x Combine like terms: 4 + -16 = -12 -33 + -7x = -12 + 8x + 6x Combine like terms: 8x + 6x = 14x -33 + -7x = -12 + 14x Solving -33 + -7x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + -7x + -14x = -12 + 14x + -14x Combine like terms: -7x + -14x = -21x -33 + -21x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -21x = -12 + 0 -33 + -21x = -12 Add '33' to each side of the equation. -33 + 33 + -21x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -21x = -12 + 33 -21x = -12 + 33 Combine like terms: -12 + 33 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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