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Simplifying 2(x + -4) + 3 + -5 = 3(x + 2) + -19 Reorder the terms: 2(-4 + x) + 3 + -5 = 3(x + 2) + -19 (-4 * 2 + x * 2) + 3 + -5 = 3(x + 2) + -19 (-8 + 2x) + 3 + -5 = 3(x + 2) + -19 Reorder the terms: -8 + 3 + -5 + 2x = 3(x + 2) + -19 Combine like terms: -8 + 3 = -5 -5 + -5 + 2x = 3(x + 2) + -19 Combine like terms: -5 + -5 = -10 -10 + 2x = 3(x + 2) + -19 Reorder the terms: -10 + 2x = 3(2 + x) + -19 -10 + 2x = (2 * 3 + x * 3) + -19 -10 + 2x = (6 + 3x) + -19 Reorder the terms: -10 + 2x = 6 + -19 + 3x Combine like terms: 6 + -19 = -13 -10 + 2x = -13 + 3x Solving -10 + 2x = -13 + 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. -10 + 2x + -3x = -13 + 3x + -3x Combine like terms: 2x + -3x = -1x -10 + -1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -1x = -13 + 0 -10 + -1x = -13 Add '10' to each side of the equation. -10 + 10 + -1x = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -13 + 10 -1x = -13 + 10 Combine like terms: -13 + 10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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