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Simplifying 7x + 3(x + 5) = 2x + -7 Reorder the terms: 7x + 3(5 + x) = 2x + -7 7x + (5 * 3 + x * 3) = 2x + -7 7x + (15 + 3x) = 2x + -7 Reorder the terms: 15 + 7x + 3x = 2x + -7 Combine like terms: 7x + 3x = 10x 15 + 10x = 2x + -7 Reorder the terms: 15 + 10x = -7 + 2x Solving 15 + 10x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 10x + -2x = -7 + 2x + -2x Combine like terms: 10x + -2x = 8x 15 + 8x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 8x = -7 + 0 15 + 8x = -7 Add '-15' to each side of the equation. 15 + -15 + 8x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -7 + -15 8x = -7 + -15 Combine like terms: -7 + -15 = -22 8x = -22 Divide each side by '8'. x = -2.75 Simplifying x = -2.75
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