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Simplifying -5(x + 1) + 3x + 2 = 6x + 4 Reorder the terms: -5(1 + x) + 3x + 2 = 6x + 4 (1 * -5 + x * -5) + 3x + 2 = 6x + 4 (-5 + -5x) + 3x + 2 = 6x + 4 Reorder the terms: -5 + 2 + -5x + 3x = 6x + 4 Combine like terms: -5 + 2 = -3 -3 + -5x + 3x = 6x + 4 Combine like terms: -5x + 3x = -2x -3 + -2x = 6x + 4 Reorder the terms: -3 + -2x = 4 + 6x Solving -3 + -2x = 4 + 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. -3 + -2x + -6x = 4 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 4 + 0 -3 + -8x = 4 Add '3' to each side of the equation. -3 + 3 + -8x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 4 + 3 -8x = 4 + 3 Combine like terms: 4 + 3 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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