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Simplifying -178 = 4x + 7(3x + -4) Reorder the terms: -178 = 4x + 7(-4 + 3x) -178 = 4x + (-4 * 7 + 3x * 7) -178 = 4x + (-28 + 21x) Reorder the terms: -178 = -28 + 4x + 21x Combine like terms: 4x + 21x = 25x -178 = -28 + 25x Solving -178 = -28 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -178 + -25x = -28 + 25x + -25x Combine like terms: 25x + -25x = 0 -178 + -25x = -28 + 0 -178 + -25x = -28 Add '178' to each side of the equation. -178 + 178 + -25x = -28 + 178 Combine like terms: -178 + 178 = 0 0 + -25x = -28 + 178 -25x = -28 + 178 Combine like terms: -28 + 178 = 150 -25x = 150 Divide each side by '-25'. x = -6 Simplifying x = -6
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