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Simplifying 5x + -3(x + -1) = -4 + 6x + 11 Reorder the terms: 5x + -3(-1 + x) = -4 + 6x + 11 5x + (-1 * -3 + x * -3) = -4 + 6x + 11 5x + (3 + -3x) = -4 + 6x + 11 Reorder the terms: 3 + 5x + -3x = -4 + 6x + 11 Combine like terms: 5x + -3x = 2x 3 + 2x = -4 + 6x + 11 Reorder the terms: 3 + 2x = -4 + 11 + 6x Combine like terms: -4 + 11 = 7 3 + 2x = 7 + 6x Solving 3 + 2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 2x + -6x = 7 + 6x + -6x Combine like terms: 2x + -6x = -4x 3 + -4x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -4x = 7 + 0 3 + -4x = 7 Add '-3' to each side of the equation. 3 + -3 + -4x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 7 + -3 -4x = 7 + -3 Combine like terms: 7 + -3 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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