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Simplifying 0.5(6x + 4) = x + 1 Reorder the terms: 0.5(4 + 6x) = x + 1 (4 * 0.5 + 6x * 0.5) = x + 1 (2 + 3x) = x + 1 Reorder the terms: 2 + 3x = 1 + x Solving 2 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 2 + 2x = 1 + 0 2 + 2x = 1 Add '-2' to each side of the equation. 2 + -2 + 2x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 1 + -2 2x = 1 + -2 Combine like terms: 1 + -2 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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