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Simplifying 7(x + -0.5) + 2 = 3x + -0.25 Reorder the terms: 7(-0.5 + x) + 2 = 3x + -0.25 (-0.5 * 7 + x * 7) + 2 = 3x + -0.25 (-3.5 + 7x) + 2 = 3x + -0.25 Reorder the terms: -3.5 + 2 + 7x = 3x + -0.25 Combine like terms: -3.5 + 2 = -1.5 -1.5 + 7x = 3x + -0.25 Reorder the terms: -1.5 + 7x = -0.25 + 3x Solving -1.5 + 7x = -0.25 + 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. -1.5 + 7x + -3x = -0.25 + 3x + -3x Combine like terms: 7x + -3x = 4x -1.5 + 4x = -0.25 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.5 + 4x = -0.25 + 0 -1.5 + 4x = -0.25 Add '1.5' to each side of the equation. -1.5 + 1.5 + 4x = -0.25 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 4x = -0.25 + 1.5 4x = -0.25 + 1.5 Combine like terms: -0.25 + 1.5 = 1.25 4x = 1.25 Divide each side by '4'. x = 0.3125 Simplifying x = 0.3125
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