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Simplifying 6(3x + 4) + -2(4x + -6) + -3x = 10x Reorder the terms: 6(4 + 3x) + -2(4x + -6) + -3x = 10x (4 * 6 + 3x * 6) + -2(4x + -6) + -3x = 10x (24 + 18x) + -2(4x + -6) + -3x = 10x Reorder the terms: 24 + 18x + -2(-6 + 4x) + -3x = 10x 24 + 18x + (-6 * -2 + 4x * -2) + -3x = 10x 24 + 18x + (12 + -8x) + -3x = 10x Reorder the terms: 24 + 12 + 18x + -8x + -3x = 10x Combine like terms: 24 + 12 = 36 36 + 18x + -8x + -3x = 10x Combine like terms: 18x + -8x = 10x 36 + 10x + -3x = 10x Combine like terms: 10x + -3x = 7x 36 + 7x = 10x Solving 36 + 7x = 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. 36 + 7x + -10x = 10x + -10x Combine like terms: 7x + -10x = -3x 36 + -3x = 10x + -10x Combine like terms: 10x + -10x = 0 36 + -3x = 0 Add '-36' to each side of the equation. 36 + -36 + -3x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 0 + -36 -3x = 0 + -36 Combine like terms: 0 + -36 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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