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Simplifying 2 + -3(4x + -1x) = 5(2 + -1x) + 4x Combine like terms: 4x + -1x = 3x 2 + -3(3x) = 5(2 + -1x) + 4x Remove parenthesis around (3x) 2 + -3 * 3x = 5(2 + -1x) + 4x Multiply -3 * 3 2 + -9x = 5(2 + -1x) + 4x 2 + -9x = (2 * 5 + -1x * 5) + 4x 2 + -9x = (10 + -5x) + 4x Combine like terms: -5x + 4x = -1x 2 + -9x = 10 + -1x Solving 2 + -9x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -9x + x = 10 + -1x + x Combine like terms: -9x + x = -8x 2 + -8x = 10 + -1x + x Combine like terms: -1x + x = 0 2 + -8x = 10 + 0 2 + -8x = 10 Add '-2' to each side of the equation. 2 + -2 + -8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 10 + -2 -8x = 10 + -2 Combine like terms: 10 + -2 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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