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Simplifying 2x + -3(2x + 7) + 8 = 19 Reorder the terms: 2x + -3(7 + 2x) + 8 = 19 2x + (7 * -3 + 2x * -3) + 8 = 19 2x + (-21 + -6x) + 8 = 19 Reorder the terms: -21 + 8 + 2x + -6x = 19 Combine like terms: -21 + 8 = -13 -13 + 2x + -6x = 19 Combine like terms: 2x + -6x = -4x -13 + -4x = 19 Solving -13 + -4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 19 + 13 -4x = 19 + 13 Combine like terms: 19 + 13 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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