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Simplifying 3(2x + 8) + -2(5x + -7) = -6x + 78 Reorder the terms: 3(8 + 2x) + -2(5x + -7) = -6x + 78 (8 * 3 + 2x * 3) + -2(5x + -7) = -6x + 78 (24 + 6x) + -2(5x + -7) = -6x + 78 Reorder the terms: 24 + 6x + -2(-7 + 5x) = -6x + 78 24 + 6x + (-7 * -2 + 5x * -2) = -6x + 78 24 + 6x + (14 + -10x) = -6x + 78 Reorder the terms: 24 + 14 + 6x + -10x = -6x + 78 Combine like terms: 24 + 14 = 38 38 + 6x + -10x = -6x + 78 Combine like terms: 6x + -10x = -4x 38 + -4x = -6x + 78 Reorder the terms: 38 + -4x = 78 + -6x Solving 38 + -4x = 78 + -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. 38 + -4x + 6x = 78 + -6x + 6x Combine like terms: -4x + 6x = 2x 38 + 2x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 2x = 78 + 0 38 + 2x = 78 Add '-38' to each side of the equation. 38 + -38 + 2x = 78 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 78 + -38 2x = 78 + -38 Combine like terms: 78 + -38 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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