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Simplifying 8(x + -1) = -7(x + 3) * 46 Reorder the terms: 8(-1 + x) = -7(x + 3) * 46 (-1 * 8 + x * 8) = -7(x + 3) * 46 (-8 + 8x) = -7(x + 3) * 46 Reorder the terms: -8 + 8x = -7(3 + x) * 46 Reorder the terms for easier multiplication: -8 + 8x = -7 * 46(3 + x) Multiply -7 * 46 -8 + 8x = -322(3 + x) -8 + 8x = (3 * -322 + x * -322) -8 + 8x = (-966 + -322x) Solving -8 + 8x = -966 + -322x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '322x' to each side of the equation. -8 + 8x + 322x = -966 + -322x + 322x Combine like terms: 8x + 322x = 330x -8 + 330x = -966 + -322x + 322x Combine like terms: -322x + 322x = 0 -8 + 330x = -966 + 0 -8 + 330x = -966 Add '8' to each side of the equation. -8 + 8 + 330x = -966 + 8 Combine like terms: -8 + 8 = 0 0 + 330x = -966 + 8 330x = -966 + 8 Combine like terms: -966 + 8 = -958 330x = -958 Divide each side by '330'. x = -2.903030303 Simplifying x = -2.903030303
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