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Simplifying 5x + 0.5 + 4x + 0.2 = 6x + 6x + -0.2 Reorder the terms: 0.5 + 0.2 + 5x + 4x = 6x + 6x + -0.2 Combine like terms: 0.5 + 0.2 = 0.7 0.7 + 5x + 4x = 6x + 6x + -0.2 Combine like terms: 5x + 4x = 9x 0.7 + 9x = 6x + 6x + -0.2 Reorder the terms: 0.7 + 9x = -0.2 + 6x + 6x Combine like terms: 6x + 6x = 12x 0.7 + 9x = -0.2 + 12x Solving 0.7 + 9x = -0.2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 0.7 + 9x + -12x = -0.2 + 12x + -12x Combine like terms: 9x + -12x = -3x 0.7 + -3x = -0.2 + 12x + -12x Combine like terms: 12x + -12x = 0 0.7 + -3x = -0.2 + 0 0.7 + -3x = -0.2 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -3x = -0.2 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -3x = -0.2 + -0.7 -3x = -0.2 + -0.7 Combine like terms: -0.2 + -0.7 = -0.9 -3x = -0.9 Divide each side by '-3'. x = 0.3 Simplifying x = 0.3
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