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Simplifying 4(4x + 3) + 6(2 + -1x) + -3(2x + -1) = 19 Reorder the terms: 4(3 + 4x) + 6(2 + -1x) + -3(2x + -1) = 19 (3 * 4 + 4x * 4) + 6(2 + -1x) + -3(2x + -1) = 19 (12 + 16x) + 6(2 + -1x) + -3(2x + -1) = 19 12 + 16x + (2 * 6 + -1x * 6) + -3(2x + -1) = 19 12 + 16x + (12 + -6x) + -3(2x + -1) = 19 Reorder the terms: 12 + 16x + 12 + -6x + -3(-1 + 2x) = 19 12 + 16x + 12 + -6x + (-1 * -3 + 2x * -3) = 19 12 + 16x + 12 + -6x + (3 + -6x) = 19 Reorder the terms: 12 + 12 + 3 + 16x + -6x + -6x = 19 Combine like terms: 12 + 12 = 24 24 + 3 + 16x + -6x + -6x = 19 Combine like terms: 24 + 3 = 27 27 + 16x + -6x + -6x = 19 Combine like terms: 16x + -6x = 10x 27 + 10x + -6x = 19 Combine like terms: 10x + -6x = 4x 27 + 4x = 19 Solving 27 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4x = 19 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 19 + -27 4x = 19 + -27 Combine like terms: 19 + -27 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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