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Simplifying 6(x + -8) + 22 = 4(x + -4) Reorder the terms: 6(-8 + x) + 22 = 4(x + -4) (-8 * 6 + x * 6) + 22 = 4(x + -4) (-48 + 6x) + 22 = 4(x + -4) Reorder the terms: -48 + 22 + 6x = 4(x + -4) Combine like terms: -48 + 22 = -26 -26 + 6x = 4(x + -4) Reorder the terms: -26 + 6x = 4(-4 + x) -26 + 6x = (-4 * 4 + x * 4) -26 + 6x = (-16 + 4x) Solving -26 + 6x = -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. -26 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -26 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 2x = -16 + 0 -26 + 2x = -16 Add '26' to each side of the equation. -26 + 26 + 2x = -16 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = -16 + 26 2x = -16 + 26 Combine like terms: -16 + 26 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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