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Simplifying -2x + 22 = 4(8x + -3) Reorder the terms: 22 + -2x = 4(8x + -3) Reorder the terms: 22 + -2x = 4(-3 + 8x) 22 + -2x = (-3 * 4 + 8x * 4) 22 + -2x = (-12 + 32x) Solving 22 + -2x = -12 + 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. 22 + -2x + -32x = -12 + 32x + -32x Combine like terms: -2x + -32x = -34x 22 + -34x = -12 + 32x + -32x Combine like terms: 32x + -32x = 0 22 + -34x = -12 + 0 22 + -34x = -12 Add '-22' to each side of the equation. 22 + -22 + -34x = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -34x = -12 + -22 -34x = -12 + -22 Combine like terms: -12 + -22 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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