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Simplifying 3(x + 4) + -4(x + -3) = 19 Reorder the terms: 3(4 + x) + -4(x + -3) = 19 (4 * 3 + x * 3) + -4(x + -3) = 19 (12 + 3x) + -4(x + -3) = 19 Reorder the terms: 12 + 3x + -4(-3 + x) = 19 12 + 3x + (-3 * -4 + x * -4) = 19 12 + 3x + (12 + -4x) = 19 Reorder the terms: 12 + 12 + 3x + -4x = 19 Combine like terms: 12 + 12 = 24 24 + 3x + -4x = 19 Combine like terms: 3x + -4x = -1x 24 + -1x = 19 Solving 24 + -1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 19 + -24 -1x = 19 + -24 Combine like terms: 19 + -24 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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