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Simplifying 0.2(3x + -4) = 2x + 2(4) Reorder the terms: 0.2(-4 + 3x) = 2x + 2(4) (-4 * 0.2 + 3x * 0.2) = 2x + 2(4) (-0.8 + 0.6x) = 2x + 2(4) Multiply 2 * 4 -0.8 + 0.6x = 2x + 8 Reorder the terms: -0.8 + 0.6x = 8 + 2x Solving -0.8 + 0.6x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.8 + 0.6x + -2x = 8 + 2x + -2x Combine like terms: 0.6x + -2x = -1.4x -0.8 + -1.4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.8 + -1.4x = 8 + 0 -0.8 + -1.4x = 8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -1.4x = 8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -1.4x = 8 + 0.8 -1.4x = 8 + 0.8 Combine like terms: 8 + 0.8 = 8.8 -1.4x = 8.8 Divide each side by '-1.4'. x = -6.285714286 Simplifying x = -6.285714286
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