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Simplifying -1x + 10 = 1x + -5x + 15 Reorder the terms: 10 + -1x = 1x + -5x + 15 Reorder the terms: 10 + -1x = 15 + 1x + -5x Combine like terms: 1x + -5x = -4x 10 + -1x = 15 + -4x Solving 10 + -1x = 15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -1x + 4x = 15 + -4x + 4x Combine like terms: -1x + 4x = 3x 10 + 3x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 3x = 15 + 0 10 + 3x = 15 Add '-10' to each side of the equation. 10 + -10 + 3x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 15 + -10 3x = 15 + -10 Combine like terms: 15 + -10 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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