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Simplifying -4(x + -4) = -6(x + -4) + 6 Reorder the terms: -4(-4 + x) = -6(x + -4) + 6 (-4 * -4 + x * -4) = -6(x + -4) + 6 (16 + -4x) = -6(x + -4) + 6 Reorder the terms: 16 + -4x = -6(-4 + x) + 6 16 + -4x = (-4 * -6 + x * -6) + 6 16 + -4x = (24 + -6x) + 6 Reorder the terms: 16 + -4x = 24 + 6 + -6x Combine like terms: 24 + 6 = 30 16 + -4x = 30 + -6x Solving 16 + -4x = 30 + -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 + -4x + 6x = 30 + -6x + 6x Combine like terms: -4x + 6x = 2x 16 + 2x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 2x = 30 + 0 16 + 2x = 30 Add '-16' to each side of the equation. 16 + -16 + 2x = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 30 + -16 2x = 30 + -16 Combine like terms: 30 + -16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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