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Simplifying 7x + 3(3x + -2) = 4x + 8 + -10x + -12 Reorder the terms: 7x + 3(-2 + 3x) = 4x + 8 + -10x + -12 7x + (-2 * 3 + 3x * 3) = 4x + 8 + -10x + -12 7x + (-6 + 9x) = 4x + 8 + -10x + -12 Reorder the terms: -6 + 7x + 9x = 4x + 8 + -10x + -12 Combine like terms: 7x + 9x = 16x -6 + 16x = 4x + 8 + -10x + -12 Reorder the terms: -6 + 16x = 8 + -12 + 4x + -10x Combine like terms: 8 + -12 = -4 -6 + 16x = -4 + 4x + -10x Combine like terms: 4x + -10x = -6x -6 + 16x = -4 + -6x Solving -6 + 16x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 16x + 6x = -4 + -6x + 6x Combine like terms: 16x + 6x = 22x -6 + 22x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 22x = -4 + 0 -6 + 22x = -4 Add '6' to each side of the equation. -6 + 6 + 22x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = -4 + 6 22x = -4 + 6 Combine like terms: -4 + 6 = 2 22x = 2 Divide each side by '22'. x = 0.09090909091 Simplifying x = 0.09090909091
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