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Simplifying 4x + 16 = -6(x + 9) Reorder the terms: 16 + 4x = -6(x + 9) Reorder the terms: 16 + 4x = -6(9 + x) 16 + 4x = (9 * -6 + x * -6) 16 + 4x = (-54 + -6x) Solving 16 + 4x = -54 + -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 = -54 + -6x + 6x Combine like terms: 4x + 6x = 10x 16 + 10x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 10x = -54 + 0 16 + 10x = -54 Add '-16' to each side of the equation. 16 + -16 + 10x = -54 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = -54 + -16 10x = -54 + -16 Combine like terms: -54 + -16 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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