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Simplifying 3(x + -2) + 2x = 13 + -4(x + -20) Reorder the terms: 3(-2 + x) + 2x = 13 + -4(x + -20) (-2 * 3 + x * 3) + 2x = 13 + -4(x + -20) (-6 + 3x) + 2x = 13 + -4(x + -20) Combine like terms: 3x + 2x = 5x -6 + 5x = 13 + -4(x + -20) Reorder the terms: -6 + 5x = 13 + -4(-20 + x) -6 + 5x = 13 + (-20 * -4 + x * -4) -6 + 5x = 13 + (80 + -4x) Combine like terms: 13 + 80 = 93 -6 + 5x = 93 + -4x Solving -6 + 5x = 93 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 5x + 4x = 93 + -4x + 4x Combine like terms: 5x + 4x = 9x -6 + 9x = 93 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 9x = 93 + 0 -6 + 9x = 93 Add '6' to each side of the equation. -6 + 6 + 9x = 93 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 93 + 6 9x = 93 + 6 Combine like terms: 93 + 6 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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