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Simplifying -4(2x + 1) + -2x = 4x + (3x + 8) * 0.4 + -7 Reorder the terms: -4(1 + 2x) + -2x = 4x + (3x + 8) * 0.4 + -7 (1 * -4 + 2x * -4) + -2x = 4x + (3x + 8) * 0.4 + -7 (-4 + -8x) + -2x = 4x + (3x + 8) * 0.4 + -7 Combine like terms: -8x + -2x = -10x -4 + -10x = 4x + (3x + 8) * 0.4 + -7 Reorder the terms: -4 + -10x = 4x + (8 + 3x) * 0.4 + -7 Reorder the terms for easier multiplication: -4 + -10x = 4x + 0.4(8 + 3x) + -7 -4 + -10x = 4x + (8 * 0.4 + 3x * 0.4) + -7 -4 + -10x = 4x + (3.2 + 1.2x) + -7 Reorder the terms: -4 + -10x = 3.2 + -7 + 4x + 1.2x Combine like terms: 3.2 + -7 = -3.8 -4 + -10x = -3.8 + 4x + 1.2x Combine like terms: 4x + 1.2x = 5.2x -4 + -10x = -3.8 + 5.2x Solving -4 + -10x = -3.8 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. -4 + -10x + -5.2x = -3.8 + 5.2x + -5.2x Combine like terms: -10x + -5.2x = -15.2x -4 + -15.2x = -3.8 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 -4 + -15.2x = -3.8 + 0.0 -4 + -15.2x = -3.8 Add '4' to each side of the equation. -4 + 4 + -15.2x = -3.8 + 4 Combine like terms: -4 + 4 = 0 0 + -15.2x = -3.8 + 4 -15.2x = -3.8 + 4 Combine like terms: -3.8 + 4 = 0.2 -15.2x = 0.2 Divide each side by '-15.2'. x = -0.01315789474 Simplifying x = -0.01315789474
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