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Simplifying 3x + 3 + -5(x + 1) = 6x + 3 Reorder the terms: 3x + 3 + -5(1 + x) = 6x + 3 3x + 3 + (1 * -5 + x * -5) = 6x + 3 3x + 3 + (-5 + -5x) = 6x + 3 Reorder the terms: 3 + -5 + 3x + -5x = 6x + 3 Combine like terms: 3 + -5 = -2 -2 + 3x + -5x = 6x + 3 Combine like terms: 3x + -5x = -2x -2 + -2x = 6x + 3 Reorder the terms: -2 + -2x = 3 + 6x Solving -2 + -2x = 3 + 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. -2 + -2x + -6x = 3 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = 3 + 0 -2 + -8x = 3 Add '2' to each side of the equation. -2 + 2 + -8x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 3 + 2 -8x = 3 + 2 Combine like terms: 3 + 2 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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