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Simplifying 4(x + -8) + -8 = -5(x + -8) + 19 Reorder the terms: 4(-8 + x) + -8 = -5(x + -8) + 19 (-8 * 4 + x * 4) + -8 = -5(x + -8) + 19 (-32 + 4x) + -8 = -5(x + -8) + 19 Reorder the terms: -32 + -8 + 4x = -5(x + -8) + 19 Combine like terms: -32 + -8 = -40 -40 + 4x = -5(x + -8) + 19 Reorder the terms: -40 + 4x = -5(-8 + x) + 19 -40 + 4x = (-8 * -5 + x * -5) + 19 -40 + 4x = (40 + -5x) + 19 Reorder the terms: -40 + 4x = 40 + 19 + -5x Combine like terms: 40 + 19 = 59 -40 + 4x = 59 + -5x Solving -40 + 4x = 59 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -40 + 4x + 5x = 59 + -5x + 5x Combine like terms: 4x + 5x = 9x -40 + 9x = 59 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 9x = 59 + 0 -40 + 9x = 59 Add '40' to each side of the equation. -40 + 40 + 9x = 59 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 59 + 40 9x = 59 + 40 Combine like terms: 59 + 40 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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