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Simplifying 0.66(x + -3) + 6 = 1.6(4x + 24) Reorder the terms: 0.66(-3 + x) + 6 = 1.6(4x + 24) (-3 * 0.66 + x * 0.66) + 6 = 1.6(4x + 24) (-1.98 + 0.66x) + 6 = 1.6(4x + 24) Reorder the terms: -1.98 + 6 + 0.66x = 1.6(4x + 24) Combine like terms: -1.98 + 6 = 4.02 4.02 + 0.66x = 1.6(4x + 24) Reorder the terms: 4.02 + 0.66x = 1.6(24 + 4x) 4.02 + 0.66x = (24 * 1.6 + 4x * 1.6) 4.02 + 0.66x = (38.4 + 6.4x) Solving 4.02 + 0.66x = 38.4 + 6.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4x' to each side of the equation. 4.02 + 0.66x + -6.4x = 38.4 + 6.4x + -6.4x Combine like terms: 0.66x + -6.4x = -5.74x 4.02 + -5.74x = 38.4 + 6.4x + -6.4x Combine like terms: 6.4x + -6.4x = 0.0 4.02 + -5.74x = 38.4 + 0.0 4.02 + -5.74x = 38.4 Add '-4.02' to each side of the equation. 4.02 + -4.02 + -5.74x = 38.4 + -4.02 Combine like terms: 4.02 + -4.02 = 0.00 0.00 + -5.74x = 38.4 + -4.02 -5.74x = 38.4 + -4.02 Combine like terms: 38.4 + -4.02 = 34.38 -5.74x = 34.38 Divide each side by '-5.74'. x = -5.989547038 Simplifying x = -5.989547038
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