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Simplifying 4 + -5(x + 5) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 4 + -5(5 + x) + -7 = 5 + 2(4 + -2x) + -16 4 + (5 * -5 + x * -5) + -7 = 5 + 2(4 + -2x) + -16 4 + (-25 + -5x) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 4 + -25 + -7 + -5x = 5 + 2(4 + -2x) + -16 Combine like terms: 4 + -25 = -21 -21 + -7 + -5x = 5 + 2(4 + -2x) + -16 Combine like terms: -21 + -7 = -28 -28 + -5x = 5 + 2(4 + -2x) + -16 -28 + -5x = 5 + (4 * 2 + -2x * 2) + -16 -28 + -5x = 5 + (8 + -4x) + -16 Reorder the terms: -28 + -5x = 5 + 8 + -16 + -4x Combine like terms: 5 + 8 = 13 -28 + -5x = 13 + -16 + -4x Combine like terms: 13 + -16 = -3 -28 + -5x = -3 + -4x Solving -28 + -5x = -3 + -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. -28 + -5x + 4x = -3 + -4x + 4x Combine like terms: -5x + 4x = -1x -28 + -1x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + -1x = -3 + 0 -28 + -1x = -3 Add '28' to each side of the equation. -28 + 28 + -1x = -3 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -3 + 28 -1x = -3 + 28 Combine like terms: -3 + 28 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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