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Simplifying -5(x + 3) + x = 6(-7 + -1x) Reorder the terms: -5(3 + x) + x = 6(-7 + -1x) (3 * -5 + x * -5) + x = 6(-7 + -1x) (-15 + -5x) + x = 6(-7 + -1x) Combine like terms: -5x + x = -4x -15 + -4x = 6(-7 + -1x) -15 + -4x = (-7 * 6 + -1x * 6) -15 + -4x = (-42 + -6x) Solving -15 + -4x = -42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + -4x + 6x = -42 + -6x + 6x Combine like terms: -4x + 6x = 2x -15 + 2x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 2x = -42 + 0 -15 + 2x = -42 Add '15' to each side of the equation. -15 + 15 + 2x = -42 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -42 + 15 2x = -42 + 15 Combine like terms: -42 + 15 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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