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Simplifying 4x + -3(x + -2) = -2 + 4x + 11 Reorder the terms: 4x + -3(-2 + x) = -2 + 4x + 11 4x + (-2 * -3 + x * -3) = -2 + 4x + 11 4x + (6 + -3x) = -2 + 4x + 11 Reorder the terms: 6 + 4x + -3x = -2 + 4x + 11 Combine like terms: 4x + -3x = 1x 6 + 1x = -2 + 4x + 11 Reorder the terms: 6 + 1x = -2 + 11 + 4x Combine like terms: -2 + 11 = 9 6 + 1x = 9 + 4x Solving 6 + 1x = 9 + 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 + 1x + -4x = 9 + 4x + -4x Combine like terms: 1x + -4x = -3x 6 + -3x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3x = 9 + 0 6 + -3x = 9 Add '-6' to each side of the equation. 6 + -6 + -3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 9 + -6 -3x = 9 + -6 Combine like terms: 9 + -6 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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