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Simplifying 2[x + 5] + -3[x + -4] = 19 Reorder the terms: 2[5 + x] + -3[x + -4] = 19 [5 * 2 + x * 2] + -3[x + -4] = 19 [10 + 2x] + -3[x + -4] = 19 Reorder the terms: 10 + 2x + -3[-4 + x] = 19 10 + 2x + [-4 * -3 + x * -3] = 19 10 + 2x + [12 + -3x] = 19 Reorder the terms: 10 + 12 + 2x + -3x = 19 Combine like terms: 10 + 12 = 22 22 + 2x + -3x = 19 Combine like terms: 2x + -3x = -1x 22 + -1x = 19 Solving 22 + -1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 19 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 19 + -22 -1x = 19 + -22 Combine like terms: 19 + -22 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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