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Simplifying -35 + 8x = -4 + 5(3x + -2) Reorder the terms: -35 + 8x = -4 + 5(-2 + 3x) -35 + 8x = -4 + (-2 * 5 + 3x * 5) -35 + 8x = -4 + (-10 + 15x) Combine like terms: -4 + -10 = -14 -35 + 8x = -14 + 15x Solving -35 + 8x = -14 + 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. -35 + 8x + -15x = -14 + 15x + -15x Combine like terms: 8x + -15x = -7x -35 + -7x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 -35 + -7x = -14 + 0 -35 + -7x = -14 Add '35' to each side of the equation. -35 + 35 + -7x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = -14 + 35 -7x = -14 + 35 Combine like terms: -14 + 35 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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