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Simplifying 12 + 3(x + -4) + -89 = 7[5 + -4(8 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -89 = 7[5 + -4(8 + -1x)] 12 + (-4 * 3 + x * 3) + -89 = 7[5 + -4(8 + -1x)] 12 + (-12 + 3x) + -89 = 7[5 + -4(8 + -1x)] Reorder the terms: 12 + -12 + -89 + 3x = 7[5 + -4(8 + -1x)] Combine like terms: 12 + -12 = 0 0 + -89 + 3x = 7[5 + -4(8 + -1x)] -89 + 3x = 7[5 + -4(8 + -1x)] -89 + 3x = 7[5 + (8 * -4 + -1x * -4)] -89 + 3x = 7[5 + (-32 + 4x)] Combine like terms: 5 + -32 = -27 -89 + 3x = 7[-27 + 4x] -89 + 3x = [-27 * 7 + 4x * 7] -89 + 3x = [-189 + 28x] Solving -89 + 3x = -189 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -89 + 3x + -28x = -189 + 28x + -28x Combine like terms: 3x + -28x = -25x -89 + -25x = -189 + 28x + -28x Combine like terms: 28x + -28x = 0 -89 + -25x = -189 + 0 -89 + -25x = -189 Add '89' to each side of the equation. -89 + 89 + -25x = -189 + 89 Combine like terms: -89 + 89 = 0 0 + -25x = -189 + 89 -25x = -189 + 89 Combine like terms: -189 + 89 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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