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Simplifying 0.8 + -7x = 4(2x + -0.1) + -3x Reorder the terms: 0.8 + -7x = 4(-0.1 + 2x) + -3x 0.8 + -7x = (-0.1 * 4 + 2x * 4) + -3x 0.8 + -7x = (-0.4 + 8x) + -3x Combine like terms: 8x + -3x = 5x 0.8 + -7x = -0.4 + 5x Solving 0.8 + -7x = -0.4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.8 + -7x + -5x = -0.4 + 5x + -5x Combine like terms: -7x + -5x = -12x 0.8 + -12x = -0.4 + 5x + -5x Combine like terms: 5x + -5x = 0 0.8 + -12x = -0.4 + 0 0.8 + -12x = -0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -12x = -0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -12x = -0.4 + -0.8 -12x = -0.4 + -0.8 Combine like terms: -0.4 + -0.8 = -1.2 -12x = -1.2 Divide each side by '-12'. x = 0.1 Simplifying x = 0.1
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