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Simplifying 3x + 3 + -6(x + 1) = 5x + 4 Reorder the terms: 3x + 3 + -6(1 + x) = 5x + 4 3x + 3 + (1 * -6 + x * -6) = 5x + 4 3x + 3 + (-6 + -6x) = 5x + 4 Reorder the terms: 3 + -6 + 3x + -6x = 5x + 4 Combine like terms: 3 + -6 = -3 -3 + 3x + -6x = 5x + 4 Combine like terms: 3x + -6x = -3x -3 + -3x = 5x + 4 Reorder the terms: -3 + -3x = 4 + 5x Solving -3 + -3x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + -3x + -5x = 4 + 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 4 + 5x + -5x Combine like terms: 5x + -5x = 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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