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Simplifying 7(x + -7) + -4 = -40 + -6x Reorder the terms: 7(-7 + x) + -4 = -40 + -6x (-7 * 7 + x * 7) + -4 = -40 + -6x (-49 + 7x) + -4 = -40 + -6x Reorder the terms: -49 + -4 + 7x = -40 + -6x Combine like terms: -49 + -4 = -53 -53 + 7x = -40 + -6x Solving -53 + 7x = -40 + -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. -53 + 7x + 6x = -40 + -6x + 6x Combine like terms: 7x + 6x = 13x -53 + 13x = -40 + -6x + 6x Combine like terms: -6x + 6x = 0 -53 + 13x = -40 + 0 -53 + 13x = -40 Add '53' to each side of the equation. -53 + 53 + 13x = -40 + 53 Combine like terms: -53 + 53 = 0 0 + 13x = -40 + 53 13x = -40 + 53 Combine like terms: -40 + 53 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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