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Simplifying -3x + 8(3x + -4) + 19 = 13 + -5(2x + -6) + 4 + x Reorder the terms: -3x + 8(-4 + 3x) + 19 = 13 + -5(2x + -6) + 4 + x -3x + (-4 * 8 + 3x * 8) + 19 = 13 + -5(2x + -6) + 4 + x -3x + (-32 + 24x) + 19 = 13 + -5(2x + -6) + 4 + x Reorder the terms: -32 + 19 + -3x + 24x = 13 + -5(2x + -6) + 4 + x Combine like terms: -32 + 19 = -13 -13 + -3x + 24x = 13 + -5(2x + -6) + 4 + x Combine like terms: -3x + 24x = 21x -13 + 21x = 13 + -5(2x + -6) + 4 + x Reorder the terms: -13 + 21x = 13 + -5(-6 + 2x) + 4 + x -13 + 21x = 13 + (-6 * -5 + 2x * -5) + 4 + x -13 + 21x = 13 + (30 + -10x) + 4 + x Reorder the terms: -13 + 21x = 13 + 30 + 4 + -10x + x Combine like terms: 13 + 30 = 43 -13 + 21x = 43 + 4 + -10x + x Combine like terms: 43 + 4 = 47 -13 + 21x = 47 + -10x + x Combine like terms: -10x + x = -9x -13 + 21x = 47 + -9x Solving -13 + 21x = 47 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -13 + 21x + 9x = 47 + -9x + 9x Combine like terms: 21x + 9x = 30x -13 + 30x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 30x = 47 + 0 -13 + 30x = 47 Add '13' to each side of the equation. -13 + 13 + 30x = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 30x = 47 + 13 30x = 47 + 13 Combine like terms: 47 + 13 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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