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Simplifying 15 + 7x = 5 + -3(5x + 4) Reorder the terms: 15 + 7x = 5 + -3(4 + 5x) 15 + 7x = 5 + (4 * -3 + 5x * -3) 15 + 7x = 5 + (-12 + -15x) Combine like terms: 5 + -12 = -7 15 + 7x = -7 + -15x Solving 15 + 7x = -7 + -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. 15 + 7x + 15x = -7 + -15x + 15x Combine like terms: 7x + 15x = 22x 15 + 22x = -7 + -15x + 15x Combine like terms: -15x + 15x = 0 15 + 22x = -7 + 0 15 + 22x = -7 Add '-15' to each side of the equation. 15 + -15 + 22x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 22x = -7 + -15 22x = -7 + -15 Combine like terms: -7 + -15 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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