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Simplifying 3(x + -8) + -5(7 + x) = 4x + -11 Reorder the terms: 3(-8 + x) + -5(7 + x) = 4x + -11 (-8 * 3 + x * 3) + -5(7 + x) = 4x + -11 (-24 + 3x) + -5(7 + x) = 4x + -11 -24 + 3x + (7 * -5 + x * -5) = 4x + -11 -24 + 3x + (-35 + -5x) = 4x + -11 Reorder the terms: -24 + -35 + 3x + -5x = 4x + -11 Combine like terms: -24 + -35 = -59 -59 + 3x + -5x = 4x + -11 Combine like terms: 3x + -5x = -2x -59 + -2x = 4x + -11 Reorder the terms: -59 + -2x = -11 + 4x Solving -59 + -2x = -11 + 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. -59 + -2x + -4x = -11 + 4x + -4x Combine like terms: -2x + -4x = -6x -59 + -6x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -59 + -6x = -11 + 0 -59 + -6x = -11 Add '59' to each side of the equation. -59 + 59 + -6x = -11 + 59 Combine like terms: -59 + 59 = 0 0 + -6x = -11 + 59 -6x = -11 + 59 Combine like terms: -11 + 59 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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