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Simplifying 6(x + 5) + -2 = 4(x + -4) Reorder the terms: 6(5 + x) + -2 = 4(x + -4) (5 * 6 + x * 6) + -2 = 4(x + -4) (30 + 6x) + -2 = 4(x + -4) Reorder the terms: 30 + -2 + 6x = 4(x + -4) Combine like terms: 30 + -2 = 28 28 + 6x = 4(x + -4) Reorder the terms: 28 + 6x = 4(-4 + x) 28 + 6x = (-4 * 4 + x * 4) 28 + 6x = (-16 + 4x) Solving 28 + 6x = -16 + 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. 28 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x 28 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 2x = -16 + 0 28 + 2x = -16 Add '-28' to each side of the equation. 28 + -28 + 2x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = -16 + -28 2x = -16 + -28 Combine like terms: -16 + -28 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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