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Simplifying 3(x + -4) + 19 = 2(x + 5) Reorder the terms: 3(-4 + x) + 19 = 2(x + 5) (-4 * 3 + x * 3) + 19 = 2(x + 5) (-12 + 3x) + 19 = 2(x + 5) Reorder the terms: -12 + 19 + 3x = 2(x + 5) Combine like terms: -12 + 19 = 7 7 + 3x = 2(x + 5) Reorder the terms: 7 + 3x = 2(5 + x) 7 + 3x = (5 * 2 + x * 2) 7 + 3x = (10 + 2x) Solving 7 + 3x = 10 + 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. 7 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = 10 + 0 7 + 1x = 10 Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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