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Simplifying 0.666(6x + 30) = x + 5(x + 4) + -2x Reorder the terms: 0.666(30 + 6x) = x + 5(x + 4) + -2x (30 * 0.666 + 6x * 0.666) = x + 5(x + 4) + -2x (19.98 + 3.996x) = x + 5(x + 4) + -2x Reorder the terms: 19.98 + 3.996x = x + 5(4 + x) + -2x 19.98 + 3.996x = x + (4 * 5 + x * 5) + -2x 19.98 + 3.996x = x + (20 + 5x) + -2x Reorder the terms: 19.98 + 3.996x = 20 + x + 5x + -2x Combine like terms: x + 5x = 6x 19.98 + 3.996x = 20 + 6x + -2x Combine like terms: 6x + -2x = 4x 19.98 + 3.996x = 20 + 4x Solving 19.98 + 3.996x = 20 + 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. 19.98 + 3.996x + -4x = 20 + 4x + -4x Combine like terms: 3.996x + -4x = -0.004x 19.98 + -0.004x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 19.98 + -0.004x = 20 + 0 19.98 + -0.004x = 20 Add '-19.98' to each side of the equation. 19.98 + -19.98 + -0.004x = 20 + -19.98 Combine like terms: 19.98 + -19.98 = 0.00 0.00 + -0.004x = 20 + -19.98 -0.004x = 20 + -19.98 Combine like terms: 20 + -19.98 = 0.02 -0.004x = 0.02 Divide each side by '-0.004'. x = -5 Simplifying x = -5
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