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Simplifying 4x + -8(x + -7) = 4(x + 6) Reorder the terms: 4x + -8(-7 + x) = 4(x + 6) 4x + (-7 * -8 + x * -8) = 4(x + 6) 4x + (56 + -8x) = 4(x + 6) Reorder the terms: 56 + 4x + -8x = 4(x + 6) Combine like terms: 4x + -8x = -4x 56 + -4x = 4(x + 6) Reorder the terms: 56 + -4x = 4(6 + x) 56 + -4x = (6 * 4 + x * 4) 56 + -4x = (24 + 4x) Solving 56 + -4x = 24 + 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. 56 + -4x + -4x = 24 + 4x + -4x Combine like terms: -4x + -4x = -8x 56 + -8x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 56 + -8x = 24 + 0 56 + -8x = 24 Add '-56' to each side of the equation. 56 + -56 + -8x = 24 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 24 + -56 -8x = 24 + -56 Combine like terms: 24 + -56 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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