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