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Simplifying 6 + 2x + -1(x + -3) = 4(x + -1) + 22 Reorder the terms: 6 + 2x + -1(-3 + x) = 4(x + -1) + 22 6 + 2x + (-3 * -1 + x * -1) = 4(x + -1) + 22 6 + 2x + (3 + -1x) = 4(x + -1) + 22 Reorder the terms: 6 + 3 + 2x + -1x = 4(x + -1) + 22 Combine like terms: 6 + 3 = 9 9 + 2x + -1x = 4(x + -1) + 22 Combine like terms: 2x + -1x = 1x 9 + 1x = 4(x + -1) + 22 Reorder the terms: 9 + 1x = 4(-1 + x) + 22 9 + 1x = (-1 * 4 + x * 4) + 22 9 + 1x = (-4 + 4x) + 22 Reorder the terms: 9 + 1x = -4 + 22 + 4x Combine like terms: -4 + 22 = 18 9 + 1x = 18 + 4x Solving 9 + 1x = 18 + 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. 9 + 1x + -4x = 18 + 4x + -4x Combine like terms: 1x + -4x = -3x 9 + -3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -3x = 18 + 0 9 + -3x = 18 Add '-9' to each side of the equation. 9 + -9 + -3x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 18 + -9 -3x = 18 + -9 Combine like terms: 18 + -9 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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