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Simplifying 4(3x + 5) + -6(x + -3) = 70 Reorder the terms: 4(5 + 3x) + -6(x + -3) = 70 (5 * 4 + 3x * 4) + -6(x + -3) = 70 (20 + 12x) + -6(x + -3) = 70 Reorder the terms: 20 + 12x + -6(-3 + x) = 70 20 + 12x + (-3 * -6 + x * -6) = 70 20 + 12x + (18 + -6x) = 70 Reorder the terms: 20 + 18 + 12x + -6x = 70 Combine like terms: 20 + 18 = 38 38 + 12x + -6x = 70 Combine like terms: 12x + -6x = 6x 38 + 6x = 70 Solving 38 + 6x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 6x = 70 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 70 + -38 6x = 70 + -38 Combine like terms: 70 + -38 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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