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Simplifying 6(x + -8) + 8 = 4(x + -7) Reorder the terms: 6(-8 + x) + 8 = 4(x + -7) (-8 * 6 + x * 6) + 8 = 4(x + -7) (-48 + 6x) + 8 = 4(x + -7) Reorder the terms: -48 + 8 + 6x = 4(x + -7) Combine like terms: -48 + 8 = -40 -40 + 6x = 4(x + -7) Reorder the terms: -40 + 6x = 4(-7 + x) -40 + 6x = (-7 * 4 + x * 4) -40 + 6x = (-28 + 4x) Solving -40 + 6x = -28 + 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. -40 + 6x + -4x = -28 + 4x + -4x Combine like terms: 6x + -4x = 2x -40 + 2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 2x = -28 + 0 -40 + 2x = -28 Add '40' to each side of the equation. -40 + 40 + 2x = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -28 + 40 2x = -28 + 40 Combine like terms: -28 + 40 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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