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Simplifying -34 + -7x = -3(1 + 5x) + -7 -34 + -7x = (1 * -3 + 5x * -3) + -7 -34 + -7x = (-3 + -15x) + -7 Reorder the terms: -34 + -7x = -3 + -7 + -15x Combine like terms: -3 + -7 = -10 -34 + -7x = -10 + -15x Solving -34 + -7x = -10 + -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. -34 + -7x + 15x = -10 + -15x + 15x Combine like terms: -7x + 15x = 8x -34 + 8x = -10 + -15x + 15x Combine like terms: -15x + 15x = 0 -34 + 8x = -10 + 0 -34 + 8x = -10 Add '34' to each side of the equation. -34 + 34 + 8x = -10 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = -10 + 34 8x = -10 + 34 Combine like terms: -10 + 34 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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