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Simplifying -9(x + 7) + -8(1 + -4x) = 22(x + -4) + 1 Reorder the terms: -9(7 + x) + -8(1 + -4x) = 22(x + -4) + 1 (7 * -9 + x * -9) + -8(1 + -4x) = 22(x + -4) + 1 (-63 + -9x) + -8(1 + -4x) = 22(x + -4) + 1 -63 + -9x + (1 * -8 + -4x * -8) = 22(x + -4) + 1 -63 + -9x + (-8 + 32x) = 22(x + -4) + 1 Reorder the terms: -63 + -8 + -9x + 32x = 22(x + -4) + 1 Combine like terms: -63 + -8 = -71 -71 + -9x + 32x = 22(x + -4) + 1 Combine like terms: -9x + 32x = 23x -71 + 23x = 22(x + -4) + 1 Reorder the terms: -71 + 23x = 22(-4 + x) + 1 -71 + 23x = (-4 * 22 + x * 22) + 1 -71 + 23x = (-88 + 22x) + 1 Reorder the terms: -71 + 23x = -88 + 1 + 22x Combine like terms: -88 + 1 = -87 -71 + 23x = -87 + 22x Solving -71 + 23x = -87 + 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. -71 + 23x + -22x = -87 + 22x + -22x Combine like terms: 23x + -22x = 1x -71 + 1x = -87 + 22x + -22x Combine like terms: 22x + -22x = 0 -71 + 1x = -87 + 0 -71 + 1x = -87 Add '71' to each side of the equation. -71 + 71 + 1x = -87 + 71 Combine like terms: -71 + 71 = 0 0 + 1x = -87 + 71 1x = -87 + 71 Combine like terms: -87 + 71 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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