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Simplifying -1x + -10.5 = 6x + 31.5 Reorder the terms: -10.5 + -1x = 6x + 31.5 Reorder the terms: -10.5 + -1x = 31.5 + 6x Solving -10.5 + -1x = 31.5 + 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. -10.5 + -1x + -6x = 31.5 + 6x + -6x Combine like terms: -1x + -6x = -7x -10.5 + -7x = 31.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -10.5 + -7x = 31.5 + 0 -10.5 + -7x = 31.5 Add '10.5' to each side of the equation. -10.5 + 10.5 + -7x = 31.5 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -7x = 31.5 + 10.5 -7x = 31.5 + 10.5 Combine like terms: 31.5 + 10.5 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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