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Simplifying 5x + -1(x + 3) = 0.3(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 0.3(9x + 18) + -5 5x + (3 * -1 + x * -1) = 0.3(9x + 18) + -5 5x + (-3 + -1x) = 0.3(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 0.3(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 0.3(9x + 18) + -5 Reorder the terms: -3 + 4x = 0.3(18 + 9x) + -5 -3 + 4x = (18 * 0.3 + 9x * 0.3) + -5 -3 + 4x = (5.4 + 2.7x) + -5 Reorder the terms: -3 + 4x = 5.4 + -5 + 2.7x Combine like terms: 5.4 + -5 = 0.4 -3 + 4x = 0.4 + 2.7x Solving -3 + 4x = 0.4 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -3 + 4x + -2.7x = 0.4 + 2.7x + -2.7x Combine like terms: 4x + -2.7x = 1.3x -3 + 1.3x = 0.4 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -3 + 1.3x = 0.4 + 0.0 -3 + 1.3x = 0.4 Add '3' to each side of the equation. -3 + 3 + 1.3x = 0.4 + 3 Combine like terms: -3 + 3 = 0 0 + 1.3x = 0.4 + 3 1.3x = 0.4 + 3 Combine like terms: 0.4 + 3 = 3.4 1.3x = 3.4 Divide each side by '1.3'. x = 2.615384615 Simplifying x = 2.615384615
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