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Simplifying (-2x + 6) + -1(x + -4) = 19 Reorder the terms: (6 + -2x) + -1(x + -4) = 19 Remove parenthesis around (6 + -2x) 6 + -2x + -1(x + -4) = 19 Reorder the terms: 6 + -2x + -1(-4 + x) = 19 6 + -2x + (-4 * -1 + x * -1) = 19 6 + -2x + (4 + -1x) = 19 Reorder the terms: 6 + 4 + -2x + -1x = 19 Combine like terms: 6 + 4 = 10 10 + -2x + -1x = 19 Combine like terms: -2x + -1x = -3x 10 + -3x = 19 Solving 10 + -3x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 19 + -10 -3x = 19 + -10 Combine like terms: 19 + -10 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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