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Simplifying 0.66(2x + -3) + 4 = -0.5(3x + -1) Reorder the terms: 0.66(-3 + 2x) + 4 = -0.5(3x + -1) (-3 * 0.66 + 2x * 0.66) + 4 = -0.5(3x + -1) (-1.98 + 1.32x) + 4 = -0.5(3x + -1) Reorder the terms: -1.98 + 4 + 1.32x = -0.5(3x + -1) Combine like terms: -1.98 + 4 = 2.02 2.02 + 1.32x = -0.5(3x + -1) Reorder the terms: 2.02 + 1.32x = -0.5(-1 + 3x) 2.02 + 1.32x = (-1 * -0.5 + 3x * -0.5) 2.02 + 1.32x = (0.5 + -1.5x) Solving 2.02 + 1.32x = 0.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 2.02 + 1.32x + 1.5x = 0.5 + -1.5x + 1.5x Combine like terms: 1.32x + 1.5x = 2.82x 2.02 + 2.82x = 0.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 2.02 + 2.82x = 0.5 + 0.0 2.02 + 2.82x = 0.5 Add '-2.02' to each side of the equation. 2.02 + -2.02 + 2.82x = 0.5 + -2.02 Combine like terms: 2.02 + -2.02 = 0.00 0.00 + 2.82x = 0.5 + -2.02 2.82x = 0.5 + -2.02 Combine like terms: 0.5 + -2.02 = -1.52 2.82x = -1.52 Divide each side by '2.82'. x = -0.5390070922 Simplifying x = -0.5390070922
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