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Simplifying 2x + -2(x + 19) = 2x + -3(7 + x) Reorder the terms: 2x + -2(19 + x) = 2x + -3(7 + x) 2x + (19 * -2 + x * -2) = 2x + -3(7 + x) 2x + (-38 + -2x) = 2x + -3(7 + x) Reorder the terms: -38 + 2x + -2x = 2x + -3(7 + x) Combine like terms: 2x + -2x = 0 -38 + 0 = 2x + -3(7 + x) -38 = 2x + -3(7 + x) -38 = 2x + (7 * -3 + x * -3) -38 = 2x + (-21 + -3x) Reorder the terms: -38 = -21 + 2x + -3x Combine like terms: 2x + -3x = -1x -38 = -21 + -1x Solving -38 = -21 + -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. -38 + x = -21 + -1x + x Combine like terms: -1x + x = 0 -38 + x = -21 + 0 -38 + x = -21 Add '38' to each side of the equation. -38 + 38 + x = -21 + 38 Combine like terms: -38 + 38 = 0 0 + x = -21 + 38 x = -21 + 38 Combine like terms: -21 + 38 = 17 x = 17 Simplifying x = 17
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