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Simplifying (-3x + 4) + -1(x + -6) = -3x + -11 Reorder the terms: (4 + -3x) + -1(x + -6) = -3x + -11 Remove parenthesis around (4 + -3x) 4 + -3x + -1(x + -6) = -3x + -11 Reorder the terms: 4 + -3x + -1(-6 + x) = -3x + -11 4 + -3x + (-6 * -1 + x * -1) = -3x + -11 4 + -3x + (6 + -1x) = -3x + -11 Reorder the terms: 4 + 6 + -3x + -1x = -3x + -11 Combine like terms: 4 + 6 = 10 10 + -3x + -1x = -3x + -11 Combine like terms: -3x + -1x = -4x 10 + -4x = -3x + -11 Reorder the terms: 10 + -4x = -11 + -3x Solving 10 + -4x = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -4x + 3x = -11 + -3x + 3x Combine like terms: -4x + 3x = -1x 10 + -1x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -1x = -11 + 0 10 + -1x = -11 Add '-10' to each side of the equation. 10 + -10 + -1x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -11 + -10 -1x = -11 + -10 Combine like terms: -11 + -10 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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