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Simplifying 0.2(3x + -4) = -0.2(3 + -4x) + 0.7 Reorder the terms: 0.2(-4 + 3x) = -0.2(3 + -4x) + 0.7 (-4 * 0.2 + 3x * 0.2) = -0.2(3 + -4x) + 0.7 (-0.8 + 0.6x) = -0.2(3 + -4x) + 0.7 -0.8 + 0.6x = (3 * -0.2 + -4x * -0.2) + 0.7 -0.8 + 0.6x = (-0.6 + 0.8x) + 0.7 Reorder the terms: -0.8 + 0.6x = -0.6 + 0.7 + 0.8x Combine like terms: -0.6 + 0.7 = 0.1 -0.8 + 0.6x = 0.1 + 0.8x Solving -0.8 + 0.6x = 0.1 + 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. -0.8 + 0.6x + -0.8x = 0.1 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -0.8 + -0.2x = 0.1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.8 + -0.2x = 0.1 + 0.0 -0.8 + -0.2x = 0.1 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.2x = 0.1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.2x = 0.1 + 0.8 -0.2x = 0.1 + 0.8 Combine like terms: 0.1 + 0.8 = 0.9 -0.2x = 0.9 Divide each side by '-0.2'. x = -4.5 Simplifying x = -4.5
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