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Simplifying 6x + -7 = -3(x + 5) + 8 Reorder the terms: -7 + 6x = -3(x + 5) + 8 Reorder the terms: -7 + 6x = -3(5 + x) + 8 -7 + 6x = (5 * -3 + x * -3) + 8 -7 + 6x = (-15 + -3x) + 8 Reorder the terms: -7 + 6x = -15 + 8 + -3x Combine like terms: -15 + 8 = -7 -7 + 6x = -7 + -3x Add '7' to each side of the equation. -7 + 7 + 6x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 0 + 6x = -7 + 7 + -3x 6x = -7 + 7 + -3x Combine like terms: -7 + 7 = 0 6x = 0 + -3x 6x = -3x Solving 6x = -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. 6x + 3x = -3x + 3x Combine like terms: 6x + 3x = 9x 9x = -3x + 3x Combine like terms: -3x + 3x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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