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Simplifying 3x + -5(x + -2) = 7(x + -3) + 1 Reorder the terms: 3x + -5(-2 + x) = 7(x + -3) + 1 3x + (-2 * -5 + x * -5) = 7(x + -3) + 1 3x + (10 + -5x) = 7(x + -3) + 1 Reorder the terms: 10 + 3x + -5x = 7(x + -3) + 1 Combine like terms: 3x + -5x = -2x 10 + -2x = 7(x + -3) + 1 Reorder the terms: 10 + -2x = 7(-3 + x) + 1 10 + -2x = (-3 * 7 + x * 7) + 1 10 + -2x = (-21 + 7x) + 1 Reorder the terms: 10 + -2x = -21 + 1 + 7x Combine like terms: -21 + 1 = -20 10 + -2x = -20 + 7x Solving 10 + -2x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -2x + -7x = -20 + 7x + -7x Combine like terms: -2x + -7x = -9x 10 + -9x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -9x = -20 + 0 10 + -9x = -20 Add '-10' to each side of the equation. 10 + -10 + -9x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -20 + -10 -9x = -20 + -10 Combine like terms: -20 + -10 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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