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Simplifying 5x + -1(6x + 4) = 2x + -49 Reorder the terms: 5x + -1(4 + 6x) = 2x + -49 5x + (4 * -1 + 6x * -1) = 2x + -49 5x + (-4 + -6x) = 2x + -49 Reorder the terms: -4 + 5x + -6x = 2x + -49 Combine like terms: 5x + -6x = -1x -4 + -1x = 2x + -49 Reorder the terms: -4 + -1x = -49 + 2x Solving -4 + -1x = -49 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -1x + -2x = -49 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = -49 + 0 -4 + -3x = -49 Add '4' to each side of the equation. -4 + 4 + -3x = -49 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -49 + 4 -3x = -49 + 4 Combine like terms: -49 + 4 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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