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Simplifying 0.5(4x + -6) + -1 = 0.66(2x + -4) Reorder the terms: 0.5(-6 + 4x) + -1 = 0.66(2x + -4) (-6 * 0.5 + 4x * 0.5) + -1 = 0.66(2x + -4) (-3 + 2x) + -1 = 0.66(2x + -4) Reorder the terms: -3 + -1 + 2x = 0.66(2x + -4) Combine like terms: -3 + -1 = -4 -4 + 2x = 0.66(2x + -4) Reorder the terms: -4 + 2x = 0.66(-4 + 2x) -4 + 2x = (-4 * 0.66 + 2x * 0.66) -4 + 2x = (-2.64 + 1.32x) Solving -4 + 2x = -2.64 + 1.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.32x' to each side of the equation. -4 + 2x + -1.32x = -2.64 + 1.32x + -1.32x Combine like terms: 2x + -1.32x = 0.68x -4 + 0.68x = -2.64 + 1.32x + -1.32x Combine like terms: 1.32x + -1.32x = 0.00 -4 + 0.68x = -2.64 + 0.00 -4 + 0.68x = -2.64 Add '4' to each side of the equation. -4 + 4 + 0.68x = -2.64 + 4 Combine like terms: -4 + 4 = 0 0 + 0.68x = -2.64 + 4 0.68x = -2.64 + 4 Combine like terms: -2.64 + 4 = 1.36 0.68x = 1.36 Divide each side by '0.68'. x = 2 Simplifying x = 2
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