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Simplifying 4x + 8 + -7(x + 1) = 2x + 4 Reorder the terms: 4x + 8 + -7(1 + x) = 2x + 4 4x + 8 + (1 * -7 + x * -7) = 2x + 4 4x + 8 + (-7 + -7x) = 2x + 4 Reorder the terms: 8 + -7 + 4x + -7x = 2x + 4 Combine like terms: 8 + -7 = 1 1 + 4x + -7x = 2x + 4 Combine like terms: 4x + -7x = -3x 1 + -3x = 2x + 4 Reorder the terms: 1 + -3x = 4 + 2x Solving 1 + -3x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -3x + -2x = 4 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = 4 + 0 1 + -5x = 4 Add '-1' to each side of the equation. 1 + -1 + -5x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 4 + -1 -5x = 4 + -1 Combine like terms: 4 + -1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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