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Simplifying -7 + 6x = -7 + 6(8x + -7) Reorder the terms: -7 + 6x = -7 + 6(-7 + 8x) -7 + 6x = -7 + (-7 * 6 + 8x * 6) -7 + 6x = -7 + (-42 + 48x) Combine like terms: -7 + -42 = -49 -7 + 6x = -49 + 48x Solving -7 + 6x = -49 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -7 + 6x + -48x = -49 + 48x + -48x Combine like terms: 6x + -48x = -42x -7 + -42x = -49 + 48x + -48x Combine like terms: 48x + -48x = 0 -7 + -42x = -49 + 0 -7 + -42x = -49 Add '7' to each side of the equation. -7 + 7 + -42x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -42x = -49 + 7 -42x = -49 + 7 Combine like terms: -49 + 7 = -42 -42x = -42 Divide each side by '-42'. x = 1 Simplifying x = 1
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