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Simplifying 3x + 1(0.5) = x + -4(0.5) Multiply 1 * 0.5 3x + 0.5 = x + -4(0.5) Reorder the terms: 0.5 + 3x = x + -4(0.5) Multiply -4 * 0.5 0.5 + 3x = x + -2 Reorder the terms: 0.5 + 3x = -2 + x Solving 0.5 + 3x = -2 + 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. 0.5 + 3x + -1x = -2 + x + -1x Combine like terms: 3x + -1x = 2x 0.5 + 2x = -2 + x + -1x Combine like terms: x + -1x = 0 0.5 + 2x = -2 + 0 0.5 + 2x = -2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2x = -2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2x = -2 + -0.5 2x = -2 + -0.5 Combine like terms: -2 + -0.5 = -2.5 2x = -2.5 Divide each side by '2'. x = -1.25 Simplifying x = -1.25
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