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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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