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Simplifying 4(x + 7) = 3(x + -8) + 8 Reorder the terms: 4(7 + x) = 3(x + -8) + 8 (7 * 4 + x * 4) = 3(x + -8) + 8 (28 + 4x) = 3(x + -8) + 8 Reorder the terms: 28 + 4x = 3(-8 + x) + 8 28 + 4x = (-8 * 3 + x * 3) + 8 28 + 4x = (-24 + 3x) + 8 Reorder the terms: 28 + 4x = -24 + 8 + 3x Combine like terms: -24 + 8 = -16 28 + 4x = -16 + 3x Solving 28 + 4x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 4x + -3x = -16 + 3x + -3x Combine like terms: 4x + -3x = 1x 28 + 1x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 1x = -16 + 0 28 + 1x = -16 Add '-28' to each side of the equation. 28 + -28 + 1x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -16 + -28 1x = -16 + -28 Combine like terms: -16 + -28 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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