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Simplifying 2 + -5(3x + 7) = 1 + 2x Reorder the terms: 2 + -5(7 + 3x) = 1 + 2x 2 + (7 * -5 + 3x * -5) = 1 + 2x 2 + (-35 + -15x) = 1 + 2x Combine like terms: 2 + -35 = -33 -33 + -15x = 1 + 2x Solving -33 + -15x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + -15x + -2x = 1 + 2x + -2x Combine like terms: -15x + -2x = -17x -33 + -17x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + -17x = 1 + 0 -33 + -17x = 1 Add '33' to each side of the equation. -33 + 33 + -17x = 1 + 33 Combine like terms: -33 + 33 = 0 0 + -17x = 1 + 33 -17x = 1 + 33 Combine like terms: 1 + 33 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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