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Simplifying 0.66(x + -3) + 6 = 0.16(4x + 24) Reorder the terms: 0.66(-3 + x) + 6 = 0.16(4x + 24) (-3 * 0.66 + x * 0.66) + 6 = 0.16(4x + 24) (-1.98 + 0.66x) + 6 = 0.16(4x + 24) Reorder the terms: -1.98 + 6 + 0.66x = 0.16(4x + 24) Combine like terms: -1.98 + 6 = 4.02 4.02 + 0.66x = 0.16(4x + 24) Reorder the terms: 4.02 + 0.66x = 0.16(24 + 4x) 4.02 + 0.66x = (24 * 0.16 + 4x * 0.16) 4.02 + 0.66x = (3.84 + 0.64x) Solving 4.02 + 0.66x = 3.84 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. 4.02 + 0.66x + -0.64x = 3.84 + 0.64x + -0.64x Combine like terms: 0.66x + -0.64x = 0.02x 4.02 + 0.02x = 3.84 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 4.02 + 0.02x = 3.84 + 0.00 4.02 + 0.02x = 3.84 Add '-4.02' to each side of the equation. 4.02 + -4.02 + 0.02x = 3.84 + -4.02 Combine like terms: 4.02 + -4.02 = 0.00 0.00 + 0.02x = 3.84 + -4.02 0.02x = 3.84 + -4.02 Combine like terms: 3.84 + -4.02 = -0.18 0.02x = -0.18 Divide each side by '0.02'. x = -9 Simplifying x = -9
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