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Simplifying 8(x + -1(4)) + -8 = 22x + -1(208) Multiply -1 * 4 8(x + -4) + -8 = 22x + -1(208) Reorder the terms: 8(-4 + x) + -8 = 22x + -1(208) (-4 * 8 + x * 8) + -8 = 22x + -1(208) (-32 + 8x) + -8 = 22x + -1(208) Reorder the terms: -32 + -8 + 8x = 22x + -1(208) Combine like terms: -32 + -8 = -40 -40 + 8x = 22x + -1(208) Multiply -1 * 208 -40 + 8x = 22x + -208 Reorder the terms: -40 + 8x = -208 + 22x Solving -40 + 8x = -208 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -40 + 8x + -22x = -208 + 22x + -22x Combine like terms: 8x + -22x = -14x -40 + -14x = -208 + 22x + -22x Combine like terms: 22x + -22x = 0 -40 + -14x = -208 + 0 -40 + -14x = -208 Add '40' to each side of the equation. -40 + 40 + -14x = -208 + 40 Combine like terms: -40 + 40 = 0 0 + -14x = -208 + 40 -14x = -208 + 40 Combine like terms: -208 + 40 = -168 -14x = -168 Divide each side by '-14'. x = 12 Simplifying x = 12
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