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Simplifying 7x + 3(6 + -1x) + 39 = 10x + 21 7x + (6 * 3 + -1x * 3) + 39 = 10x + 21 7x + (18 + -3x) + 39 = 10x + 21 Reorder the terms: 18 + 39 + 7x + -3x = 10x + 21 Combine like terms: 18 + 39 = 57 57 + 7x + -3x = 10x + 21 Combine like terms: 7x + -3x = 4x 57 + 4x = 10x + 21 Reorder the terms: 57 + 4x = 21 + 10x Solving 57 + 4x = 21 + 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. 57 + 4x + -10x = 21 + 10x + -10x Combine like terms: 4x + -10x = -6x 57 + -6x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 57 + -6x = 21 + 0 57 + -6x = 21 Add '-57' to each side of the equation. 57 + -57 + -6x = 21 + -57 Combine like terms: 57 + -57 = 0 0 + -6x = 21 + -57 -6x = 21 + -57 Combine like terms: 21 + -57 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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