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Simplifying 19 + -1(7 + -4x) = 8x + (30 + -3x) 19 + (7 * -1 + -4x * -1) = 8x + (30 + -3x) 19 + (-7 + 4x) = 8x + (30 + -3x) Combine like terms: 19 + -7 = 12 12 + 4x = 8x + (30 + -3x) Remove parenthesis around (30 + -3x) 12 + 4x = 8x + 30 + -3x Reorder the terms: 12 + 4x = 30 + 8x + -3x Combine like terms: 8x + -3x = 5x 12 + 4x = 30 + 5x Solving 12 + 4x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 4x + -5x = 30 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 30 + 0 12 + -1x = 30 Add '-12' to each side of the equation. 12 + -12 + -1x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 30 + -12 -1x = 30 + -12 Combine like terms: 30 + -12 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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