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Simplifying 0.1(4x + -8) + 0.2(x + -4) = -0.8x Reorder the terms: 0.1(-8 + 4x) + 0.2(x + -4) = -0.8x (-8 * 0.1 + 4x * 0.1) + 0.2(x + -4) = -0.8x (-0.8 + 0.4x) + 0.2(x + -4) = -0.8x Reorder the terms: -0.8 + 0.4x + 0.2(-4 + x) = -0.8x -0.8 + 0.4x + (-4 * 0.2 + x * 0.2) = -0.8x -0.8 + 0.4x + (-0.8 + 0.2x) = -0.8x Reorder the terms: -0.8 + -0.8 + 0.4x + 0.2x = -0.8x Combine like terms: -0.8 + -0.8 = -1.6 -1.6 + 0.4x + 0.2x = -0.8x Combine like terms: 0.4x + 0.2x = 0.6x -1.6 + 0.6x = -0.8x Solving -1.6 + 0.6x = -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -1.6 + 0.6x + 0.8x = -0.8x + 0.8x Combine like terms: 0.6x + 0.8x = 1.4x -1.6 + 1.4x = -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -1.6 + 1.4x = 0.0 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1.4x = 0.0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1.4x = 0.0 + 1.6 1.4x = 0.0 + 1.6 Combine like terms: 0.0 + 1.6 = 1.6 1.4x = 1.6 Divide each side by '1.4'. x = 1.142857143 Simplifying x = 1.142857143
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