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Simplifying 7x + 7 + -4(x + 1) = 8x + 7 Reorder the terms: 7x + 7 + -4(1 + x) = 8x + 7 7x + 7 + (1 * -4 + x * -4) = 8x + 7 7x + 7 + (-4 + -4x) = 8x + 7 Reorder the terms: 7 + -4 + 7x + -4x = 8x + 7 Combine like terms: 7 + -4 = 3 3 + 7x + -4x = 8x + 7 Combine like terms: 7x + -4x = 3x 3 + 3x = 8x + 7 Reorder the terms: 3 + 3x = 7 + 8x Solving 3 + 3x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 3x + -8x = 7 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = 7 + 0 3 + -5x = 7 Add '-3' to each side of the equation. 3 + -3 + -5x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 7 + -3 -5x = 7 + -3 Combine like terms: 7 + -3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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