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Simplifying 2x + 3(x + -2) = 7 + -3x + -1x Reorder the terms: 2x + 3(-2 + x) = 7 + -3x + -1x 2x + (-2 * 3 + x * 3) = 7 + -3x + -1x 2x + (-6 + 3x) = 7 + -3x + -1x Reorder the terms: -6 + 2x + 3x = 7 + -3x + -1x Combine like terms: 2x + 3x = 5x -6 + 5x = 7 + -3x + -1x Combine like terms: -3x + -1x = -4x -6 + 5x = 7 + -4x Solving -6 + 5x = 7 + -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 = 7 + -4x + 4x Combine like terms: 5x + 4x = 9x -6 + 9x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 9x = 7 + 0 -6 + 9x = 7 Add '6' to each side of the equation. -6 + 6 + 9x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 7 + 6 9x = 7 + 6 Combine like terms: 7 + 6 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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