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Simplifying 6(-4x + -4) + -5 = -7x + -46 Reorder the terms: 6(-4 + -4x) + -5 = -7x + -46 (-4 * 6 + -4x * 6) + -5 = -7x + -46 (-24 + -24x) + -5 = -7x + -46 Reorder the terms: -24 + -5 + -24x = -7x + -46 Combine like terms: -24 + -5 = -29 -29 + -24x = -7x + -46 Reorder the terms: -29 + -24x = -46 + -7x Solving -29 + -24x = -46 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -29 + -24x + 7x = -46 + -7x + 7x Combine like terms: -24x + 7x = -17x -29 + -17x = -46 + -7x + 7x Combine like terms: -7x + 7x = 0 -29 + -17x = -46 + 0 -29 + -17x = -46 Add '29' to each side of the equation. -29 + 29 + -17x = -46 + 29 Combine like terms: -29 + 29 = 0 0 + -17x = -46 + 29 -17x = -46 + 29 Combine like terms: -46 + 29 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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