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Simplifying 3x + 8 + -7(x + 1) = 4x + 8 Reorder the terms: 3x + 8 + -7(1 + x) = 4x + 8 3x + 8 + (1 * -7 + x * -7) = 4x + 8 3x + 8 + (-7 + -7x) = 4x + 8 Reorder the terms: 8 + -7 + 3x + -7x = 4x + 8 Combine like terms: 8 + -7 = 1 1 + 3x + -7x = 4x + 8 Combine like terms: 3x + -7x = -4x 1 + -4x = 4x + 8 Reorder the terms: 1 + -4x = 8 + 4x Solving 1 + -4x = 8 + 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. 1 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x 1 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -8x = 8 + 0 1 + -8x = 8 Add '-1' to each side of the equation. 1 + -1 + -8x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 8 + -1 -8x = 8 + -1 Combine like terms: 8 + -1 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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