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Simplifying 8 + -3(-6x + 9) + 3x = 5(2x + -1) + 4(x + 13) Reorder the terms: 8 + -3(9 + -6x) + 3x = 5(2x + -1) + 4(x + 13) 8 + (9 * -3 + -6x * -3) + 3x = 5(2x + -1) + 4(x + 13) 8 + (-27 + 18x) + 3x = 5(2x + -1) + 4(x + 13) Combine like terms: 8 + -27 = -19 -19 + 18x + 3x = 5(2x + -1) + 4(x + 13) Combine like terms: 18x + 3x = 21x -19 + 21x = 5(2x + -1) + 4(x + 13) Reorder the terms: -19 + 21x = 5(-1 + 2x) + 4(x + 13) -19 + 21x = (-1 * 5 + 2x * 5) + 4(x + 13) -19 + 21x = (-5 + 10x) + 4(x + 13) Reorder the terms: -19 + 21x = -5 + 10x + 4(13 + x) -19 + 21x = -5 + 10x + (13 * 4 + x * 4) -19 + 21x = -5 + 10x + (52 + 4x) Reorder the terms: -19 + 21x = -5 + 52 + 10x + 4x Combine like terms: -5 + 52 = 47 -19 + 21x = 47 + 10x + 4x Combine like terms: 10x + 4x = 14x -19 + 21x = 47 + 14x Solving -19 + 21x = 47 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -19 + 21x + -14x = 47 + 14x + -14x Combine like terms: 21x + -14x = 7x -19 + 7x = 47 + 14x + -14x Combine like terms: 14x + -14x = 0 -19 + 7x = 47 + 0 -19 + 7x = 47 Add '19' to each side of the equation. -19 + 19 + 7x = 47 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 47 + 19 7x = 47 + 19 Combine like terms: 47 + 19 = 66 7x = 66 Divide each side by '7'. x = 9.428571429 Simplifying x = 9.428571429
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