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Simplifying (x + -4) + (5x + 12) = 9x + -19 Reorder the terms: (-4 + x) + (5x + 12) = 9x + -19 Remove parenthesis around (-4 + x) -4 + x + (5x + 12) = 9x + -19 Reorder the terms: -4 + x + (12 + 5x) = 9x + -19 Remove parenthesis around (12 + 5x) -4 + x + 12 + 5x = 9x + -19 Reorder the terms: -4 + 12 + x + 5x = 9x + -19 Combine like terms: -4 + 12 = 8 8 + x + 5x = 9x + -19 Combine like terms: x + 5x = 6x 8 + 6x = 9x + -19 Reorder the terms: 8 + 6x = -19 + 9x Solving 8 + 6x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 6x + -9x = -19 + 9x + -9x Combine like terms: 6x + -9x = -3x 8 + -3x = -19 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -3x = -19 + 0 8 + -3x = -19 Add '-8' to each side of the equation. 8 + -8 + -3x = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -19 + -8 -3x = -19 + -8 Combine like terms: -19 + -8 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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