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Simplifying 0.9x + -0.8(15 + -4x) = -0.1(x + -6) 0.9x + (15 * -0.8 + -4x * -0.8) = -0.1(x + -6) 0.9x + (-12 + 3.2x) = -0.1(x + -6) Reorder the terms: -12 + 0.9x + 3.2x = -0.1(x + -6) Combine like terms: 0.9x + 3.2x = 4.1x -12 + 4.1x = -0.1(x + -6) Reorder the terms: -12 + 4.1x = -0.1(-6 + x) -12 + 4.1x = (-6 * -0.1 + x * -0.1) -12 + 4.1x = (0.6 + -0.1x) Solving -12 + 4.1x = 0.6 + -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. -12 + 4.1x + 0.1x = 0.6 + -0.1x + 0.1x Combine like terms: 4.1x + 0.1x = 4.2x -12 + 4.2x = 0.6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -12 + 4.2x = 0.6 + 0.0 -12 + 4.2x = 0.6 Add '12' to each side of the equation. -12 + 12 + 4.2x = 0.6 + 12 Combine like terms: -12 + 12 = 0 0 + 4.2x = 0.6 + 12 4.2x = 0.6 + 12 Combine like terms: 0.6 + 12 = 12.6 4.2x = 12.6 Divide each side by '4.2'. x = 3 Simplifying x = 3
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