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Simplifying 2x + 1 + -3x + 5 = 3(x + 1) + 1 Reorder the terms: 1 + 5 + 2x + -3x = 3(x + 1) + 1 Combine like terms: 1 + 5 = 6 6 + 2x + -3x = 3(x + 1) + 1 Combine like terms: 2x + -3x = -1x 6 + -1x = 3(x + 1) + 1 Reorder the terms: 6 + -1x = 3(1 + x) + 1 6 + -1x = (1 * 3 + x * 3) + 1 6 + -1x = (3 + 3x) + 1 Reorder the terms: 6 + -1x = 3 + 1 + 3x Combine like terms: 3 + 1 = 4 6 + -1x = 4 + 3x Solving 6 + -1x = 4 + 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. 6 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x 6 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -4x = 4 + 0 6 + -4x = 4 Add '-6' to each side of the equation. 6 + -6 + -4x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 4 + -6 -4x = 4 + -6 Combine like terms: 4 + -6 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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