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Simplifying 5(x + -2) + 19 = 4(x + 3) Reorder the terms: 5(-2 + x) + 19 = 4(x + 3) (-2 * 5 + x * 5) + 19 = 4(x + 3) (-10 + 5x) + 19 = 4(x + 3) Reorder the terms: -10 + 19 + 5x = 4(x + 3) Combine like terms: -10 + 19 = 9 9 + 5x = 4(x + 3) Reorder the terms: 9 + 5x = 4(3 + x) 9 + 5x = (3 * 4 + x * 4) 9 + 5x = (12 + 4x) Solving 9 + 5x = 12 + 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. 9 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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