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Simplifying 0.7x + -0.4(18 + -3x) = -0.2(x + -6) 0.7x + (18 * -0.4 + -3x * -0.4) = -0.2(x + -6) 0.7x + (-7.2 + 1.2x) = -0.2(x + -6) Reorder the terms: -7.2 + 0.7x + 1.2x = -0.2(x + -6) Combine like terms: 0.7x + 1.2x = 1.9x -7.2 + 1.9x = -0.2(x + -6) Reorder the terms: -7.2 + 1.9x = -0.2(-6 + x) -7.2 + 1.9x = (-6 * -0.2 + x * -0.2) -7.2 + 1.9x = (1.2 + -0.2x) Solving -7.2 + 1.9x = 1.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -7.2 + 1.9x + 0.2x = 1.2 + -0.2x + 0.2x Combine like terms: 1.9x + 0.2x = 2.1x -7.2 + 2.1x = 1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -7.2 + 2.1x = 1.2 + 0.0 -7.2 + 2.1x = 1.2 Add '7.2' to each side of the equation. -7.2 + 7.2 + 2.1x = 1.2 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 2.1x = 1.2 + 7.2 2.1x = 1.2 + 7.2 Combine like terms: 1.2 + 7.2 = 8.4 2.1x = 8.4 Divide each side by '2.1'. x = 4 Simplifying x = 4
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