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Simplifying 7x + 5 + -4(x + 1) = 8x + 3 Reorder the terms: 7x + 5 + -4(1 + x) = 8x + 3 7x + 5 + (1 * -4 + x * -4) = 8x + 3 7x + 5 + (-4 + -4x) = 8x + 3 Reorder the terms: 5 + -4 + 7x + -4x = 8x + 3 Combine like terms: 5 + -4 = 1 1 + 7x + -4x = 8x + 3 Combine like terms: 7x + -4x = 3x 1 + 3x = 8x + 3 Reorder the terms: 1 + 3x = 3 + 8x Solving 1 + 3x = 3 + 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. 1 + 3x + -8x = 3 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = 3 + 0 1 + -5x = 3 Add '-1' to each side of the equation. 1 + -1 + -5x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 3 + -1 -5x = 3 + -1 Combine like terms: 3 + -1 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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