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Simplifying 2x + 5 + -4(x + 1) = 6x + 8 Reorder the terms: 2x + 5 + -4(1 + x) = 6x + 8 2x + 5 + (1 * -4 + x * -4) = 6x + 8 2x + 5 + (-4 + -4x) = 6x + 8 Reorder the terms: 5 + -4 + 2x + -4x = 6x + 8 Combine like terms: 5 + -4 = 1 1 + 2x + -4x = 6x + 8 Combine like terms: 2x + -4x = -2x 1 + -2x = 6x + 8 Reorder the terms: 1 + -2x = 8 + 6x Solving 1 + -2x = 8 + 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. 1 + -2x + -6x = 8 + 6x + -6x Combine like terms: -2x + -6x = -8x 1 + -8x = 8 + 6x + -6x Combine like terms: 6x + -6x = 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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