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Simplifying 6x + -4 + 5(x + 1) = 3x + 3 Reorder the terms: 6x + -4 + 5(1 + x) = 3x + 3 6x + -4 + (1 * 5 + x * 5) = 3x + 3 6x + -4 + (5 + 5x) = 3x + 3 Reorder the terms: -4 + 5 + 6x + 5x = 3x + 3 Combine like terms: -4 + 5 = 1 1 + 6x + 5x = 3x + 3 Combine like terms: 6x + 5x = 11x 1 + 11x = 3x + 3 Reorder the terms: 1 + 11x = 3 + 3x Solving 1 + 11x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 11x + -3x = 3 + 3x + -3x Combine like terms: 11x + -3x = 8x 1 + 8x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 8x = 3 + 0 1 + 8x = 3 Add '-1' to each side of the equation. 1 + -1 + 8x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 3 + -1 8x = 3 + -1 Combine like terms: 3 + -1 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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