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Simplifying 5x + -8 = -22 + -4(x + 12) Reorder the terms: -8 + 5x = -22 + -4(x + 12) Reorder the terms: -8 + 5x = -22 + -4(12 + x) -8 + 5x = -22 + (12 * -4 + x * -4) -8 + 5x = -22 + (-48 + -4x) Combine like terms: -22 + -48 = -70 -8 + 5x = -70 + -4x Solving -8 + 5x = -70 + -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. -8 + 5x + 4x = -70 + -4x + 4x Combine like terms: 5x + 4x = 9x -8 + 9x = -70 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 9x = -70 + 0 -8 + 9x = -70 Add '8' to each side of the equation. -8 + 8 + 9x = -70 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -70 + 8 9x = -70 + 8 Combine like terms: -70 + 8 = -62 9x = -62 Divide each side by '9'. x = -6.888888889 Simplifying x = -6.888888889
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