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Simplifying 6(x + -8) + 26 = 4(x + -4) Reorder the terms: 6(-8 + x) + 26 = 4(x + -4) (-8 * 6 + x * 6) + 26 = 4(x + -4) (-48 + 6x) + 26 = 4(x + -4) Reorder the terms: -48 + 26 + 6x = 4(x + -4) Combine like terms: -48 + 26 = -22 -22 + 6x = 4(x + -4) Reorder the terms: -22 + 6x = 4(-4 + x) -22 + 6x = (-4 * 4 + x * 4) -22 + 6x = (-16 + 4x) Solving -22 + 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. -22 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -22 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 2x = -16 + 0 -22 + 2x = -16 Add '22' to each side of the equation. -22 + 22 + 2x = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -16 + 22 2x = -16 + 22 Combine like terms: -16 + 22 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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