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Simplifying 4(3x + -2) + 5 + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 Reorder the terms: 4(-2 + 3x) + 5 + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 (-2 * 4 + 3x * 4) + 5 + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 (-8 + 12x) + 5 + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 Reorder the terms: -8 + 5 + 12x + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 Combine like terms: -8 + 5 = -3 -3 + 12x + 3x = 9(-2x + -1) + 6x + -3 + 2x + 59 Combine like terms: 12x + 3x = 15x -3 + 15x = 9(-2x + -1) + 6x + -3 + 2x + 59 Reorder the terms: -3 + 15x = 9(-1 + -2x) + 6x + -3 + 2x + 59 -3 + 15x = (-1 * 9 + -2x * 9) + 6x + -3 + 2x + 59 -3 + 15x = (-9 + -18x) + 6x + -3 + 2x + 59 Reorder the terms: -3 + 15x = -9 + -3 + 59 + -18x + 6x + 2x Combine like terms: -9 + -3 = -12 -3 + 15x = -12 + 59 + -18x + 6x + 2x Combine like terms: -12 + 59 = 47 -3 + 15x = 47 + -18x + 6x + 2x Combine like terms: -18x + 6x = -12x -3 + 15x = 47 + -12x + 2x Combine like terms: -12x + 2x = -10x -3 + 15x = 47 + -10x Solving -3 + 15x = 47 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -3 + 15x + 10x = 47 + -10x + 10x Combine like terms: 15x + 10x = 25x -3 + 25x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 -3 + 25x = 47 + 0 -3 + 25x = 47 Add '3' to each side of the equation. -3 + 3 + 25x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 25x = 47 + 3 25x = 47 + 3 Combine like terms: 47 + 3 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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