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Simplifying 3x + 4 + 5(x + 1) = -6x + 6 Reorder the terms: 3x + 4 + 5(1 + x) = -6x + 6 3x + 4 + (1 * 5 + x * 5) = -6x + 6 3x + 4 + (5 + 5x) = -6x + 6 Reorder the terms: 4 + 5 + 3x + 5x = -6x + 6 Combine like terms: 4 + 5 = 9 9 + 3x + 5x = -6x + 6 Combine like terms: 3x + 5x = 8x 9 + 8x = -6x + 6 Reorder the terms: 9 + 8x = 6 + -6x Solving 9 + 8x = 6 + -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. 9 + 8x + 6x = 6 + -6x + 6x Combine like terms: 8x + 6x = 14x 9 + 14x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 14x = 6 + 0 9 + 14x = 6 Add '-9' to each side of the equation. 9 + -9 + 14x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 6 + -9 14x = 6 + -9 Combine like terms: 6 + -9 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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