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Simplifying 3x + -0.54 = 2(x + -0.5) Reorder the terms: -0.54 + 3x = 2(x + -0.5) Reorder the terms: -0.54 + 3x = 2(-0.5 + x) -0.54 + 3x = (-0.5 * 2 + x * 2) -0.54 + 3x = (-1 + 2x) Solving -0.54 + 3x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.54 + 3x + -2x = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x -0.54 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.54 + 1x = -1 + 0 -0.54 + 1x = -1 Add '0.54' to each side of the equation. -0.54 + 0.54 + 1x = -1 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 1x = -1 + 0.54 1x = -1 + 0.54 Combine like terms: -1 + 0.54 = -0.46 1x = -0.46 Divide each side by '1'. x = -0.46 Simplifying x = -0.46
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