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Simplifying 6(x + -6) + 16 = 4(x + -4) Reorder the terms: 6(-6 + x) + 16 = 4(x + -4) (-6 * 6 + x * 6) + 16 = 4(x + -4) (-36 + 6x) + 16 = 4(x + -4) Reorder the terms: -36 + 16 + 6x = 4(x + -4) Combine like terms: -36 + 16 = -20 -20 + 6x = 4(x + -4) Reorder the terms: -20 + 6x = 4(-4 + x) -20 + 6x = (-4 * 4 + x * 4) -20 + 6x = (-16 + 4x) Solving -20 + 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. -20 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -20 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 2x = -16 + 0 -20 + 2x = -16 Add '20' to each side of the equation. -20 + 20 + 2x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -16 + 20 2x = -16 + 20 Combine like terms: -16 + 20 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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