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Simplifying 3(-2x + 1) + -1(-4x) = -1x + 19 Reorder the terms: 3(1 + -2x) + -1(-4x) = -1x + 19 (1 * 3 + -2x * 3) + -1(-4x) = -1x + 19 (3 + -6x) + -1(-4x) = -1x + 19 Remove parenthesis around (-4x) 3 + -6x + -1 * -4x = -1x + 19 Multiply -1 * -4 3 + -6x + 4x = -1x + 19 Combine like terms: -6x + 4x = -2x 3 + -2x = -1x + 19 Reorder the terms: 3 + -2x = 19 + -1x Solving 3 + -2x = 19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -2x + x = 19 + -1x + x Combine like terms: -2x + x = -1x 3 + -1x = 19 + -1x + x Combine like terms: -1x + x = 0 3 + -1x = 19 + 0 3 + -1x = 19 Add '-3' to each side of the equation. 3 + -3 + -1x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 19 + -3 -1x = 19 + -3 Combine like terms: 19 + -3 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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