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Simplifying 7x + 5 = 3(5x + -6) Reorder the terms: 5 + 7x = 3(5x + -6) Reorder the terms: 5 + 7x = 3(-6 + 5x) 5 + 7x = (-6 * 3 + 5x * 3) 5 + 7x = (-18 + 15x) Solving 5 + 7x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 7x + -15x = -18 + 15x + -15x Combine like terms: 7x + -15x = -8x 5 + -8x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -8x = -18 + 0 5 + -8x = -18 Add '-5' to each side of the equation. 5 + -5 + -8x = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -18 + -5 -8x = -18 + -5 Combine like terms: -18 + -5 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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