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Simplifying 6(x + -7) = 15x + 46 Reorder the terms: 6(-7 + x) = 15x + 46 (-7 * 6 + x * 6) = 15x + 46 (-42 + 6x) = 15x + 46 Reorder the terms: -42 + 6x = 46 + 15x Solving -42 + 6x = 46 + 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. -42 + 6x + -15x = 46 + 15x + -15x Combine like terms: 6x + -15x = -9x -42 + -9x = 46 + 15x + -15x Combine like terms: 15x + -15x = 0 -42 + -9x = 46 + 0 -42 + -9x = 46 Add '42' to each side of the equation. -42 + 42 + -9x = 46 + 42 Combine like terms: -42 + 42 = 0 0 + -9x = 46 + 42 -9x = 46 + 42 Combine like terms: 46 + 42 = 88 -9x = 88 Divide each side by '-9'. x = -9.777777778 Simplifying x = -9.777777778
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