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Simplifying 0.9x + -0.5(14 + -3x) = 0.1(x + -5) 0.9x + (14 * -0.5 + -3x * -0.5) = 0.1(x + -5) 0.9x + (-7 + 1.5x) = 0.1(x + -5) Reorder the terms: -7 + 0.9x + 1.5x = 0.1(x + -5) Combine like terms: 0.9x + 1.5x = 2.4x -7 + 2.4x = 0.1(x + -5) Reorder the terms: -7 + 2.4x = 0.1(-5 + x) -7 + 2.4x = (-5 * 0.1 + x * 0.1) -7 + 2.4x = (-0.5 + 0.1x) Solving -7 + 2.4x = -0.5 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -7 + 2.4x + -0.1x = -0.5 + 0.1x + -0.1x Combine like terms: 2.4x + -0.1x = 2.3x -7 + 2.3x = -0.5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -7 + 2.3x = -0.5 + 0.0 -7 + 2.3x = -0.5 Add '7' to each side of the equation. -7 + 7 + 2.3x = -0.5 + 7 Combine like terms: -7 + 7 = 0 0 + 2.3x = -0.5 + 7 2.3x = -0.5 + 7 Combine like terms: -0.5 + 7 = 6.5 2.3x = 6.5 Divide each side by '2.3'. x = 2.826086957 Simplifying x = 2.826086957
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