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Simplifying 3x + 4 = 2(x + 3) + -6(x + 5) Reorder the terms: 4 + 3x = 2(x + 3) + -6(x + 5) Reorder the terms: 4 + 3x = 2(3 + x) + -6(x + 5) 4 + 3x = (3 * 2 + x * 2) + -6(x + 5) 4 + 3x = (6 + 2x) + -6(x + 5) Reorder the terms: 4 + 3x = 6 + 2x + -6(5 + x) 4 + 3x = 6 + 2x + (5 * -6 + x * -6) 4 + 3x = 6 + 2x + (-30 + -6x) Reorder the terms: 4 + 3x = 6 + -30 + 2x + -6x Combine like terms: 6 + -30 = -24 4 + 3x = -24 + 2x + -6x Combine like terms: 2x + -6x = -4x 4 + 3x = -24 + -4x Solving 4 + 3x = -24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 3x + 4x = -24 + -4x + 4x Combine like terms: 3x + 4x = 7x 4 + 7x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 7x = -24 + 0 4 + 7x = -24 Add '-4' to each side of the equation. 4 + -4 + 7x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -24 + -4 7x = -24 + -4 Combine like terms: -24 + -4 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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