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Simplifying 3(x + -5) + 19 = 2(x + 4) Reorder the terms: 3(-5 + x) + 19 = 2(x + 4) (-5 * 3 + x * 3) + 19 = 2(x + 4) (-15 + 3x) + 19 = 2(x + 4) Reorder the terms: -15 + 19 + 3x = 2(x + 4) Combine like terms: -15 + 19 = 4 4 + 3x = 2(x + 4) Reorder the terms: 4 + 3x = 2(4 + x) 4 + 3x = (4 * 2 + x * 2) 4 + 3x = (8 + 2x) Solving 4 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 8 + 0 4 + 1x = 8 Add '-4' to each side of the equation. 4 + -4 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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