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Simplifying 6 + -6x = 7x + -10x + -15 Reorder the terms: 6 + -6x = -15 + 7x + -10x Combine like terms: 7x + -10x = -3x 6 + -6x = -15 + -3x Solving 6 + -6x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -6x + 3x = -15 + -3x + 3x Combine like terms: -6x + 3x = -3x 6 + -3x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -3x = -15 + 0 6 + -3x = -15 Add '-6' to each side of the equation. 6 + -6 + -3x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -15 + -6 -3x = -15 + -6 Combine like terms: -15 + -6 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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