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Simplifying -3x + 2 = 5(3x + -7) + 1 Reorder the terms: 2 + -3x = 5(3x + -7) + 1 Reorder the terms: 2 + -3x = 5(-7 + 3x) + 1 2 + -3x = (-7 * 5 + 3x * 5) + 1 2 + -3x = (-35 + 15x) + 1 Reorder the terms: 2 + -3x = -35 + 1 + 15x Combine like terms: -35 + 1 = -34 2 + -3x = -34 + 15x Solving 2 + -3x = -34 + 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. 2 + -3x + -15x = -34 + 15x + -15x Combine like terms: -3x + -15x = -18x 2 + -18x = -34 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -18x = -34 + 0 2 + -18x = -34 Add '-2' to each side of the equation. 2 + -2 + -18x = -34 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = -34 + -2 -18x = -34 + -2 Combine like terms: -34 + -2 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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