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Simplifying 0.75 + 2(x + -0.5) = 3x + 0.4(3) Reorder the terms: 0.75 + 2(-0.5 + x) = 3x + 0.4(3) 0.75 + (-0.5 * 2 + x * 2) = 3x + 0.4(3) 0.75 + (-1 + 2x) = 3x + 0.4(3) Combine like terms: 0.75 + -1 = -0.25 -0.25 + 2x = 3x + 0.4(3) Multiply 0.4 * 3 -0.25 + 2x = 3x + 1.2 Reorder the terms: -0.25 + 2x = 1.2 + 3x Solving -0.25 + 2x = 1.2 + 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. -0.25 + 2x + -3x = 1.2 + 3x + -3x Combine like terms: 2x + -3x = -1x -0.25 + -1x = 1.2 + 3x + -3x Combine like terms: 3x + -3x = 0 -0.25 + -1x = 1.2 + 0 -0.25 + -1x = 1.2 Add '0.25' to each side of the equation. -0.25 + 0.25 + -1x = 1.2 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1x = 1.2 + 0.25 -1x = 1.2 + 0.25 Combine like terms: 1.2 + 0.25 = 1.45 -1x = 1.45 Divide each side by '-1'. x = -1.45 Simplifying x = -1.45
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