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Simplifying 0.1x + -0.5(3 + -4x) = -0.9(x + -5) 0.1x + (3 * -0.5 + -4x * -0.5) = -0.9(x + -5) 0.1x + (-1.5 + 2x) = -0.9(x + -5) Reorder the terms: -1.5 + 0.1x + 2x = -0.9(x + -5) Combine like terms: 0.1x + 2x = 2.1x -1.5 + 2.1x = -0.9(x + -5) Reorder the terms: -1.5 + 2.1x = -0.9(-5 + x) -1.5 + 2.1x = (-5 * -0.9 + x * -0.9) -1.5 + 2.1x = (4.5 + -0.9x) Solving -1.5 + 2.1x = 4.5 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -1.5 + 2.1x + 0.9x = 4.5 + -0.9x + 0.9x Combine like terms: 2.1x + 0.9x = 3x -1.5 + 3x = 4.5 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -1.5 + 3x = 4.5 + 0.0 -1.5 + 3x = 4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 3x = 4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3x = 4.5 + 1.5 3x = 4.5 + 1.5 Combine like terms: 4.5 + 1.5 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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