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Simplifying 3 + 7(6x + 5) = -3 + -6(7x + -4) Reorder the terms: 3 + 7(5 + 6x) = -3 + -6(7x + -4) 3 + (5 * 7 + 6x * 7) = -3 + -6(7x + -4) 3 + (35 + 42x) = -3 + -6(7x + -4) Combine like terms: 3 + 35 = 38 38 + 42x = -3 + -6(7x + -4) Reorder the terms: 38 + 42x = -3 + -6(-4 + 7x) 38 + 42x = -3 + (-4 * -6 + 7x * -6) 38 + 42x = -3 + (24 + -42x) Combine like terms: -3 + 24 = 21 38 + 42x = 21 + -42x Solving 38 + 42x = 21 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 38 + 42x + 42x = 21 + -42x + 42x Combine like terms: 42x + 42x = 84x 38 + 84x = 21 + -42x + 42x Combine like terms: -42x + 42x = 0 38 + 84x = 21 + 0 38 + 84x = 21 Add '-38' to each side of the equation. 38 + -38 + 84x = 21 + -38 Combine like terms: 38 + -38 = 0 0 + 84x = 21 + -38 84x = 21 + -38 Combine like terms: 21 + -38 = -17 84x = -17 Divide each side by '84'. x = -0.2023809524 Simplifying x = -0.2023809524
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