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Simplifying x + -4(x + 4) = 2(3x + 10) Reorder the terms: x + -4(4 + x) = 2(3x + 10) x + (4 * -4 + x * -4) = 2(3x + 10) x + (-16 + -4x) = 2(3x + 10) Reorder the terms: -16 + x + -4x = 2(3x + 10) Combine like terms: x + -4x = -3x -16 + -3x = 2(3x + 10) Reorder the terms: -16 + -3x = 2(10 + 3x) -16 + -3x = (10 * 2 + 3x * 2) -16 + -3x = (20 + 6x) Solving -16 + -3x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + -3x + -6x = 20 + 6x + -6x Combine like terms: -3x + -6x = -9x -16 + -9x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -9x = 20 + 0 -16 + -9x = 20 Add '16' to each side of the equation. -16 + 16 + -9x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 20 + 16 -9x = 20 + 16 Combine like terms: 20 + 16 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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