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Simplifying 0.3(x + -2) + 0.4x = -0.2(x + -6) Reorder the terms: 0.3(-2 + x) + 0.4x = -0.2(x + -6) (-2 * 0.3 + x * 0.3) + 0.4x = -0.2(x + -6) (-0.6 + 0.3x) + 0.4x = -0.2(x + -6) Combine like terms: 0.3x + 0.4x = 0.7x -0.6 + 0.7x = -0.2(x + -6) Reorder the terms: -0.6 + 0.7x = -0.2(-6 + x) -0.6 + 0.7x = (-6 * -0.2 + x * -0.2) -0.6 + 0.7x = (1.2 + -0.2x) Solving -0.6 + 0.7x = 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. -0.6 + 0.7x + 0.2x = 1.2 + -0.2x + 0.2x Combine like terms: 0.7x + 0.2x = 0.9x -0.6 + 0.9x = 1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.6 + 0.9x = 1.2 + 0.0 -0.6 + 0.9x = 1.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.9x = 1.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.9x = 1.2 + 0.6 0.9x = 1.2 + 0.6 Combine like terms: 1.2 + 0.6 = 1.8 0.9x = 1.8 Divide each side by '0.9'. x = 2 Simplifying x = 2
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