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Simplifying 0.6(6x + -3) = x + 5(x + 8) Reorder the terms: 0.6(-3 + 6x) = x + 5(x + 8) (-3 * 0.6 + 6x * 0.6) = x + 5(x + 8) (-1.8 + 3.6x) = x + 5(x + 8) Reorder the terms: -1.8 + 3.6x = x + 5(8 + x) -1.8 + 3.6x = x + (8 * 5 + x * 5) -1.8 + 3.6x = x + (40 + 5x) Reorder the terms: -1.8 + 3.6x = 40 + x + 5x Combine like terms: x + 5x = 6x -1.8 + 3.6x = 40 + 6x Solving -1.8 + 3.6x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1.8 + 3.6x + -6x = 40 + 6x + -6x Combine like terms: 3.6x + -6x = -2.4x -1.8 + -2.4x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.8 + -2.4x = 40 + 0 -1.8 + -2.4x = 40 Add '1.8' to each side of the equation. -1.8 + 1.8 + -2.4x = 40 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -2.4x = 40 + 1.8 -2.4x = 40 + 1.8 Combine like terms: 40 + 1.8 = 41.8 -2.4x = 41.8 Divide each side by '-2.4'. x = -17.41666667 Simplifying x = -17.41666667
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