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Simplifying 5x + -1(x + 3) = 0.6(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 0.6(9x + 18) + -5 5x + (3 * -1 + x * -1) = 0.6(9x + 18) + -5 5x + (-3 + -1x) = 0.6(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 0.6(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 0.6(9x + 18) + -5 Reorder the terms: -3 + 4x = 0.6(18 + 9x) + -5 -3 + 4x = (18 * 0.6 + 9x * 0.6) + -5 -3 + 4x = (10.8 + 5.4x) + -5 Reorder the terms: -3 + 4x = 10.8 + -5 + 5.4x Combine like terms: 10.8 + -5 = 5.8 -3 + 4x = 5.8 + 5.4x Solving -3 + 4x = 5.8 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. -3 + 4x + -5.4x = 5.8 + 5.4x + -5.4x Combine like terms: 4x + -5.4x = -1.4x -3 + -1.4x = 5.8 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 -3 + -1.4x = 5.8 + 0.0 -3 + -1.4x = 5.8 Add '3' to each side of the equation. -3 + 3 + -1.4x = 5.8 + 3 Combine like terms: -3 + 3 = 0 0 + -1.4x = 5.8 + 3 -1.4x = 5.8 + 3 Combine like terms: 5.8 + 3 = 8.8 -1.4x = 8.8 Divide each side by '-1.4'. x = -6.285714286 Simplifying x = -6.285714286
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