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Simplifying 6(x + -3) + 4x = 5x + 2x + -21 Reorder the terms: 6(-3 + x) + 4x = 5x + 2x + -21 (-3 * 6 + x * 6) + 4x = 5x + 2x + -21 (-18 + 6x) + 4x = 5x + 2x + -21 Combine like terms: 6x + 4x = 10x -18 + 10x = 5x + 2x + -21 Reorder the terms: -18 + 10x = -21 + 5x + 2x Combine like terms: 5x + 2x = 7x -18 + 10x = -21 + 7x Solving -18 + 10x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 10x + -7x = -21 + 7x + -7x Combine like terms: 10x + -7x = 3x -18 + 3x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 3x = -21 + 0 -18 + 3x = -21 Add '18' to each side of the equation. -18 + 18 + 3x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -21 + 18 3x = -21 + 18 Combine like terms: -21 + 18 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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