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