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Simplifying -2x + 1 = -3(2x + 5) Reorder the terms: 1 + -2x = -3(2x + 5) Reorder the terms: 1 + -2x = -3(5 + 2x) 1 + -2x = (5 * -3 + 2x * -3) 1 + -2x = (-15 + -6x) Solving 1 + -2x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -2x + 6x = -15 + -6x + 6x Combine like terms: -2x + 6x = 4x 1 + 4x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 4x = -15 + 0 1 + 4x = -15 Add '-1' to each side of the equation. 1 + -1 + 4x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -15 + -1 4x = -15 + -1 Combine like terms: -15 + -1 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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