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Simplifying 2(X + -3) + 7(2X + -1) = 19 + -4(X + 2) Reorder the terms: 2(-3 + X) + 7(2X + -1) = 19 + -4(X + 2) (-3 * 2 + X * 2) + 7(2X + -1) = 19 + -4(X + 2) (-6 + 2X) + 7(2X + -1) = 19 + -4(X + 2) Reorder the terms: -6 + 2X + 7(-1 + 2X) = 19 + -4(X + 2) -6 + 2X + (-1 * 7 + 2X * 7) = 19 + -4(X + 2) -6 + 2X + (-7 + 14X) = 19 + -4(X + 2) Reorder the terms: -6 + -7 + 2X + 14X = 19 + -4(X + 2) Combine like terms: -6 + -7 = -13 -13 + 2X + 14X = 19 + -4(X + 2) Combine like terms: 2X + 14X = 16X -13 + 16X = 19 + -4(X + 2) Reorder the terms: -13 + 16X = 19 + -4(2 + X) -13 + 16X = 19 + (2 * -4 + X * -4) -13 + 16X = 19 + (-8 + -4X) Combine like terms: 19 + -8 = 11 -13 + 16X = 11 + -4X Solving -13 + 16X = 11 + -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. -13 + 16X + 4X = 11 + -4X + 4X Combine like terms: 16X + 4X = 20X -13 + 20X = 11 + -4X + 4X Combine like terms: -4X + 4X = 0 -13 + 20X = 11 + 0 -13 + 20X = 11 Add '13' to each side of the equation. -13 + 13 + 20X = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 20X = 11 + 13 20X = 11 + 13 Combine like terms: 11 + 13 = 24 20X = 24 Divide each side by '20'. X = 1.2 Simplifying X = 1.2
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