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Simplifying 0.66(6x + -3) = x + 5(x + 8) + -2x Reorder the terms: 0.66(-3 + 6x) = x + 5(x + 8) + -2x (-3 * 0.66 + 6x * 0.66) = x + 5(x + 8) + -2x (-1.98 + 3.96x) = x + 5(x + 8) + -2x Reorder the terms: -1.98 + 3.96x = x + 5(8 + x) + -2x -1.98 + 3.96x = x + (8 * 5 + x * 5) + -2x -1.98 + 3.96x = x + (40 + 5x) + -2x Reorder the terms: -1.98 + 3.96x = 40 + x + 5x + -2x Combine like terms: x + 5x = 6x -1.98 + 3.96x = 40 + 6x + -2x Combine like terms: 6x + -2x = 4x -1.98 + 3.96x = 40 + 4x Solving -1.98 + 3.96x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1.98 + 3.96x + -4x = 40 + 4x + -4x Combine like terms: 3.96x + -4x = -0.04x -1.98 + -0.04x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.98 + -0.04x = 40 + 0 -1.98 + -0.04x = 40 Add '1.98' to each side of the equation. -1.98 + 1.98 + -0.04x = 40 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -0.04x = 40 + 1.98 -0.04x = 40 + 1.98 Combine like terms: 40 + 1.98 = 41.98 -0.04x = 41.98 Divide each side by '-0.04'. x = -1049.5 Simplifying x = -1049.5
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