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Simplifying 2x + 8 + -4(x + 1) = 6x + 7 Reorder the terms: 2x + 8 + -4(1 + x) = 6x + 7 2x + 8 + (1 * -4 + x * -4) = 6x + 7 2x + 8 + (-4 + -4x) = 6x + 7 Reorder the terms: 8 + -4 + 2x + -4x = 6x + 7 Combine like terms: 8 + -4 = 4 4 + 2x + -4x = 6x + 7 Combine like terms: 2x + -4x = -2x 4 + -2x = 6x + 7 Reorder the terms: 4 + -2x = 7 + 6x Solving 4 + -2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = 7 + 0 4 + -8x = 7 Add '-4' to each side of the equation. 4 + -4 + -8x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 7 + -4 -8x = 7 + -4 Combine like terms: 7 + -4 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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