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Simplifying 0.1x + 0.5x + -7 = 0.6 + x Reorder the terms: -7 + 0.1x + 0.5x = 0.6 + x Combine like terms: 0.1x + 0.5x = 0.6x -7 + 0.6x = 0.6 + x Solving -7 + 0.6x = 0.6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 0.6x + -1x = 0.6 + x + -1x Combine like terms: 0.6x + -1x = -0.4x -7 + -0.4x = 0.6 + x + -1x Combine like terms: x + -1x = 0 -7 + -0.4x = 0.6 + 0 -7 + -0.4x = 0.6 Add '7' to each side of the equation. -7 + 7 + -0.4x = 0.6 + 7 Combine like terms: -7 + 7 = 0 0 + -0.4x = 0.6 + 7 -0.4x = 0.6 + 7 Combine like terms: 0.6 + 7 = 7.6 -0.4x = 7.6 Divide each side by '-0.4'. x = -19 Simplifying x = -19
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