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Simplifying -90 = -1x + 7(x + -6) Reorder the terms: -90 = -1x + 7(-6 + x) -90 = -1x + (-6 * 7 + x * 7) -90 = -1x + (-42 + 7x) Reorder the terms: -90 = -42 + -1x + 7x Combine like terms: -1x + 7x = 6x -90 = -42 + 6x Solving -90 = -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. -90 + -6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -90 + -6x = -42 + 0 -90 + -6x = -42 Add '90' to each side of the equation. -90 + 90 + -6x = -42 + 90 Combine like terms: -90 + 90 = 0 0 + -6x = -42 + 90 -6x = -42 + 90 Combine like terms: -42 + 90 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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