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Simplifying x + -5.5x + -0.7 = -2(x + 6.6) Reorder the terms: -0.7 + x + -5.5x = -2(x + 6.6) Combine like terms: x + -5.5x = -4.5x -0.7 + -4.5x = -2(x + 6.6) Reorder the terms: -0.7 + -4.5x = -2(6.6 + x) -0.7 + -4.5x = (6.6 * -2 + x * -2) -0.7 + -4.5x = (-13.2 + -2x) Solving -0.7 + -4.5x = -13.2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -0.7 + -4.5x + 2x = -13.2 + -2x + 2x Combine like terms: -4.5x + 2x = -2.5x -0.7 + -2.5x = -13.2 + -2x + 2x Combine like terms: -2x + 2x = 0 -0.7 + -2.5x = -13.2 + 0 -0.7 + -2.5x = -13.2 Add '0.7' to each side of the equation. -0.7 + 0.7 + -2.5x = -13.2 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + -2.5x = -13.2 + 0.7 -2.5x = -13.2 + 0.7 Combine like terms: -13.2 + 0.7 = -12.5 -2.5x = -12.5 Divide each side by '-2.5'. x = 5 Simplifying x = 5
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