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Simplifying 19 + -1(2x + 3) = 2(1x + 3) + 1x Reorder the terms: 19 + -1(3 + 2x) = 2(1x + 3) + 1x 19 + (3 * -1 + 2x * -1) = 2(1x + 3) + 1x 19 + (-3 + -2x) = 2(1x + 3) + 1x Combine like terms: 19 + -3 = 16 16 + -2x = 2(1x + 3) + 1x Reorder the terms: 16 + -2x = 2(3 + 1x) + 1x 16 + -2x = (3 * 2 + 1x * 2) + 1x 16 + -2x = (6 + 2x) + 1x Combine like terms: 2x + 1x = 3x 16 + -2x = 6 + 3x Solving 16 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 16 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -5x = 6 + 0 16 + -5x = 6 Add '-16' to each side of the equation. 16 + -16 + -5x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 6 + -16 -5x = 6 + -16 Combine like terms: 6 + -16 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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