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Simplifying 7x + 15 = -8x + -8(6x + 6) Reorder the terms: 15 + 7x = -8x + -8(6x + 6) Reorder the terms: 15 + 7x = -8x + -8(6 + 6x) 15 + 7x = -8x + (6 * -8 + 6x * -8) 15 + 7x = -8x + (-48 + -48x) Reorder the terms: 15 + 7x = -48 + -8x + -48x Combine like terms: -8x + -48x = -56x 15 + 7x = -48 + -56x Solving 15 + 7x = -48 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 15 + 7x + 56x = -48 + -56x + 56x Combine like terms: 7x + 56x = 63x 15 + 63x = -48 + -56x + 56x Combine like terms: -56x + 56x = 0 15 + 63x = -48 + 0 15 + 63x = -48 Add '-15' to each side of the equation. 15 + -15 + 63x = -48 + -15 Combine like terms: 15 + -15 = 0 0 + 63x = -48 + -15 63x = -48 + -15 Combine like terms: -48 + -15 = -63 63x = -63 Divide each side by '63'. x = -1 Simplifying x = -1
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