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Simplifying -6x + -4(4 + 3x) = -5x + -5(2x + -1) -6x + (4 * -4 + 3x * -4) = -5x + -5(2x + -1) -6x + (-16 + -12x) = -5x + -5(2x + -1) Reorder the terms: -16 + -6x + -12x = -5x + -5(2x + -1) Combine like terms: -6x + -12x = -18x -16 + -18x = -5x + -5(2x + -1) Reorder the terms: -16 + -18x = -5x + -5(-1 + 2x) -16 + -18x = -5x + (-1 * -5 + 2x * -5) -16 + -18x = -5x + (5 + -10x) Reorder the terms: -16 + -18x = 5 + -5x + -10x Combine like terms: -5x + -10x = -15x -16 + -18x = 5 + -15x Solving -16 + -18x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -16 + -18x + 15x = 5 + -15x + 15x Combine like terms: -18x + 15x = -3x -16 + -3x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 -16 + -3x = 5 + 0 -16 + -3x = 5 Add '16' to each side of the equation. -16 + 16 + -3x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 5 + 16 -3x = 5 + 16 Combine like terms: 5 + 16 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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