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Simplifying 7(x + -8) + 22 = 4(x + -4) Reorder the terms: 7(-8 + x) + 22 = 4(x + -4) (-8 * 7 + x * 7) + 22 = 4(x + -4) (-56 + 7x) + 22 = 4(x + -4) Reorder the terms: -56 + 22 + 7x = 4(x + -4) Combine like terms: -56 + 22 = -34 -34 + 7x = 4(x + -4) Reorder the terms: -34 + 7x = 4(-4 + x) -34 + 7x = (-4 * 4 + x * 4) -34 + 7x = (-16 + 4x) Solving -34 + 7x = -16 + 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. -34 + 7x + -4x = -16 + 4x + -4x Combine like terms: 7x + -4x = 3x -34 + 3x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 3x = -16 + 0 -34 + 3x = -16 Add '34' to each side of the equation. -34 + 34 + 3x = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = -16 + 34 3x = -16 + 34 Combine like terms: -16 + 34 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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