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Simplifying 10(x + -7) + -4 = 32x + -206 Reorder the terms: 10(-7 + x) + -4 = 32x + -206 (-7 * 10 + x * 10) + -4 = 32x + -206 (-70 + 10x) + -4 = 32x + -206 Reorder the terms: -70 + -4 + 10x = 32x + -206 Combine like terms: -70 + -4 = -74 -74 + 10x = 32x + -206 Reorder the terms: -74 + 10x = -206 + 32x Solving -74 + 10x = -206 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -74 + 10x + -32x = -206 + 32x + -32x Combine like terms: 10x + -32x = -22x -74 + -22x = -206 + 32x + -32x Combine like terms: 32x + -32x = 0 -74 + -22x = -206 + 0 -74 + -22x = -206 Add '74' to each side of the equation. -74 + 74 + -22x = -206 + 74 Combine like terms: -74 + 74 = 0 0 + -22x = -206 + 74 -22x = -206 + 74 Combine like terms: -206 + 74 = -132 -22x = -132 Divide each side by '-22'. x = 6 Simplifying x = 6
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