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Simplifying 3x + -22 = 4(x + -6) + 3 Reorder the terms: -22 + 3x = 4(x + -6) + 3 Reorder the terms: -22 + 3x = 4(-6 + x) + 3 -22 + 3x = (-6 * 4 + x * 4) + 3 -22 + 3x = (-24 + 4x) + 3 Reorder the terms: -22 + 3x = -24 + 3 + 4x Combine like terms: -24 + 3 = -21 -22 + 3x = -21 + 4x Solving -22 + 3x = -21 + 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. -22 + 3x + -4x = -21 + 4x + -4x Combine like terms: 3x + -4x = -1x -22 + -1x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + -1x = -21 + 0 -22 + -1x = -21 Add '22' to each side of the equation. -22 + 22 + -1x = -21 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = -21 + 22 -1x = -21 + 22 Combine like terms: -21 + 22 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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