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Simplifying -2(x + 5) + 17 = 4x + 19 Reorder the terms: -2(5 + x) + 17 = 4x + 19 (5 * -2 + x * -2) + 17 = 4x + 19 (-10 + -2x) + 17 = 4x + 19 Reorder the terms: -10 + 17 + -2x = 4x + 19 Combine like terms: -10 + 17 = 7 7 + -2x = 4x + 19 Reorder the terms: 7 + -2x = 19 + 4x Solving 7 + -2x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -2x + -4x = 19 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = 19 + 0 7 + -6x = 19 Add '-7' to each side of the equation. 7 + -7 + -6x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 19 + -7 -6x = 19 + -7 Combine like terms: 19 + -7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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