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Simplifying 4x + -16 = 7 + -5(x + 7) Reorder the terms: -16 + 4x = 7 + -5(x + 7) Reorder the terms: -16 + 4x = 7 + -5(7 + x) -16 + 4x = 7 + (7 * -5 + x * -5) -16 + 4x = 7 + (-35 + -5x) Combine like terms: 7 + -35 = -28 -16 + 4x = -28 + -5x Solving -16 + 4x = -28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 4x + 5x = -28 + -5x + 5x Combine like terms: 4x + 5x = 9x -16 + 9x = -28 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 9x = -28 + 0 -16 + 9x = -28 Add '16' to each side of the equation. -16 + 16 + 9x = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = -28 + 16 9x = -28 + 16 Combine like terms: -28 + 16 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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