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Simplifying 2.7x + -0.8 + -0.7x = -2x + 2(4x + 0.2) Reorder the terms: -0.8 + 2.7x + -0.7x = -2x + 2(4x + 0.2) Combine like terms: 2.7x + -0.7x = 2x -0.8 + 2x = -2x + 2(4x + 0.2) Reorder the terms: -0.8 + 2x = -2x + 2(0.2 + 4x) -0.8 + 2x = -2x + (0.2 * 2 + 4x * 2) -0.8 + 2x = -2x + (0.4 + 8x) Reorder the terms: -0.8 + 2x = 0.4 + -2x + 8x Combine like terms: -2x + 8x = 6x -0.8 + 2x = 0.4 + 6x Solving -0.8 + 2x = 0.4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -0.8 + 2x + -6x = 0.4 + 6x + -6x Combine like terms: 2x + -6x = -4x -0.8 + -4x = 0.4 + 6x + -6x Combine like terms: 6x + -6x = 0 -0.8 + -4x = 0.4 + 0 -0.8 + -4x = 0.4 Add '0.8' to each side of the equation. -0.8 + 0.8 + -4x = 0.4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -4x = 0.4 + 0.8 -4x = 0.4 + 0.8 Combine like terms: 0.4 + 0.8 = 1.2 -4x = 1.2 Divide each side by '-4'. x = -0.3 Simplifying x = -0.3
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