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Simplifying 7x + -7 = -6(7 + 4x) Reorder the terms: -7 + 7x = -6(7 + 4x) -7 + 7x = (7 * -6 + 4x * -6) -7 + 7x = (-42 + -24x) Solving -7 + 7x = -42 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -7 + 7x + 24x = -42 + -24x + 24x Combine like terms: 7x + 24x = 31x -7 + 31x = -42 + -24x + 24x Combine like terms: -24x + 24x = 0 -7 + 31x = -42 + 0 -7 + 31x = -42 Add '7' to each side of the equation. -7 + 7 + 31x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 31x = -42 + 7 31x = -42 + 7 Combine like terms: -42 + 7 = -35 31x = -35 Divide each side by '31'. x = -1.129032258 Simplifying x = -1.129032258
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