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Simplifying -3x + 5x + 6(x + 1) = -2x + 3 Reorder the terms: -3x + 5x + 6(1 + x) = -2x + 3 -3x + 5x + (1 * 6 + x * 6) = -2x + 3 -3x + 5x + (6 + 6x) = -2x + 3 Reorder the terms: 6 + -3x + 5x + 6x = -2x + 3 Combine like terms: -3x + 5x = 2x 6 + 2x + 6x = -2x + 3 Combine like terms: 2x + 6x = 8x 6 + 8x = -2x + 3 Reorder the terms: 6 + 8x = 3 + -2x Solving 6 + 8x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 8x + 2x = 3 + -2x + 2x Combine like terms: 8x + 2x = 10x 6 + 10x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 10x = 3 + 0 6 + 10x = 3 Add '-6' to each side of the equation. 6 + -6 + 10x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 3 + -6 10x = 3 + -6 Combine like terms: 3 + -6 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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