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Simplifying 5x + 2(x + -3) + 2x = 6x + 3(x + 2) + -4 + x Reorder the terms: 5x + 2(-3 + x) + 2x = 6x + 3(x + 2) + -4 + x 5x + (-3 * 2 + x * 2) + 2x = 6x + 3(x + 2) + -4 + x 5x + (-6 + 2x) + 2x = 6x + 3(x + 2) + -4 + x Reorder the terms: -6 + 5x + 2x + 2x = 6x + 3(x + 2) + -4 + x Combine like terms: 5x + 2x = 7x -6 + 7x + 2x = 6x + 3(x + 2) + -4 + x Combine like terms: 7x + 2x = 9x -6 + 9x = 6x + 3(x + 2) + -4 + x Reorder the terms: -6 + 9x = 6x + 3(2 + x) + -4 + x -6 + 9x = 6x + (2 * 3 + x * 3) + -4 + x -6 + 9x = 6x + (6 + 3x) + -4 + x Reorder the terms: -6 + 9x = 6 + -4 + 6x + 3x + x Combine like terms: 6 + -4 = 2 -6 + 9x = 2 + 6x + 3x + x Combine like terms: 6x + 3x = 9x -6 + 9x = 2 + 9x + x Combine like terms: 9x + x = 10x -6 + 9x = 2 + 10x Solving -6 + 9x = 2 + 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. -6 + 9x + -10x = 2 + 10x + -10x Combine like terms: 9x + -10x = -1x -6 + -1x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -1x = 2 + 0 -6 + -1x = 2 Add '6' to each side of the equation. -6 + 6 + -1x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 2 + 6 -1x = 2 + 6 Combine like terms: 2 + 6 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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