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Simplifying 6x + -4(x + 7) = -22 + -1x Reorder the terms: 6x + -4(7 + x) = -22 + -1x 6x + (7 * -4 + x * -4) = -22 + -1x 6x + (-28 + -4x) = -22 + -1x Reorder the terms: -28 + 6x + -4x = -22 + -1x Combine like terms: 6x + -4x = 2x -28 + 2x = -22 + -1x Solving -28 + 2x = -22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 2x + x = -22 + -1x + x Combine like terms: 2x + x = 3x -28 + 3x = -22 + -1x + x Combine like terms: -1x + x = 0 -28 + 3x = -22 + 0 -28 + 3x = -22 Add '28' to each side of the equation. -28 + 28 + 3x = -22 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -22 + 28 3x = -22 + 28 Combine like terms: -22 + 28 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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