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Simplifying -30(-1x + 6) + (-5x + 4) = -5x + -6 + (-8 + 30) Reorder the terms: -30(6 + -1x) + (-5x + 4) = -5x + -6 + (-8 + 30) (6 * -30 + -1x * -30) + (-5x + 4) = -5x + -6 + (-8 + 30) (-180 + 30x) + (-5x + 4) = -5x + -6 + (-8 + 30) Reorder the terms: -180 + 30x + (4 + -5x) = -5x + -6 + (-8 + 30) Remove parenthesis around (4 + -5x) -180 + 30x + 4 + -5x = -5x + -6 + (-8 + 30) Reorder the terms: -180 + 4 + 30x + -5x = -5x + -6 + (-8 + 30) Combine like terms: -180 + 4 = -176 -176 + 30x + -5x = -5x + -6 + (-8 + 30) Combine like terms: 30x + -5x = 25x -176 + 25x = -5x + -6 + (-8 + 30) Combine like terms: -8 + 30 = 22 -176 + 25x = -5x + -6 + (22) -176 + 25x = -5x + -6 + 22 Reorder the terms: -176 + 25x = -6 + 22 + -5x Combine like terms: -6 + 22 = 16 -176 + 25x = 16 + -5x Solving -176 + 25x = 16 + -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. -176 + 25x + 5x = 16 + -5x + 5x Combine like terms: 25x + 5x = 30x -176 + 30x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 -176 + 30x = 16 + 0 -176 + 30x = 16 Add '176' to each side of the equation. -176 + 176 + 30x = 16 + 176 Combine like terms: -176 + 176 = 0 0 + 30x = 16 + 176 30x = 16 + 176 Combine like terms: 16 + 176 = 192 30x = 192 Divide each side by '30'. x = 6.4 Simplifying x = 6.4
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