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Simplifying -3(5x + -5) + 5x = 7x + -6 Reorder the terms: -3(-5 + 5x) + 5x = 7x + -6 (-5 * -3 + 5x * -3) + 5x = 7x + -6 (15 + -15x) + 5x = 7x + -6 Combine like terms: -15x + 5x = -10x 15 + -10x = 7x + -6 Reorder the terms: 15 + -10x = -6 + 7x Solving 15 + -10x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -10x + -7x = -6 + 7x + -7x Combine like terms: -10x + -7x = -17x 15 + -17x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -17x = -6 + 0 15 + -17x = -6 Add '-15' to each side of the equation. 15 + -15 + -17x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = -6 + -15 -17x = -6 + -15 Combine like terms: -6 + -15 = -21 -17x = -21 Divide each side by '-17'. x = 1.235294118 Simplifying x = 1.235294118
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