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Simplifying 0.3x + -0.1(18 + -3x) = -0.2(x + -7) 0.3x + (18 * -0.1 + -3x * -0.1) = -0.2(x + -7) 0.3x + (-1.8 + 0.3x) = -0.2(x + -7) Reorder the terms: -1.8 + 0.3x + 0.3x = -0.2(x + -7) Combine like terms: 0.3x + 0.3x = 0.6x -1.8 + 0.6x = -0.2(x + -7) Reorder the terms: -1.8 + 0.6x = -0.2(-7 + x) -1.8 + 0.6x = (-7 * -0.2 + x * -0.2) -1.8 + 0.6x = (1.4 + -0.2x) Solving -1.8 + 0.6x = 1.4 + -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. -1.8 + 0.6x + 0.2x = 1.4 + -0.2x + 0.2x Combine like terms: 0.6x + 0.2x = 0.8x -1.8 + 0.8x = 1.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -1.8 + 0.8x = 1.4 + 0.0 -1.8 + 0.8x = 1.4 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.8x = 1.4 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.8x = 1.4 + 1.8 0.8x = 1.4 + 1.8 Combine like terms: 1.4 + 1.8 = 3.2 0.8x = 3.2 Divide each side by '0.8'. x = 4 Simplifying x = 4
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