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