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Simplifying -7x + 3 = -4x + 6(6x + -6) Reorder the terms: 3 + -7x = -4x + 6(6x + -6) Reorder the terms: 3 + -7x = -4x + 6(-6 + 6x) 3 + -7x = -4x + (-6 * 6 + 6x * 6) 3 + -7x = -4x + (-36 + 36x) Reorder the terms: 3 + -7x = -36 + -4x + 36x Combine like terms: -4x + 36x = 32x 3 + -7x = -36 + 32x Solving 3 + -7x = -36 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 3 + -7x + -32x = -36 + 32x + -32x Combine like terms: -7x + -32x = -39x 3 + -39x = -36 + 32x + -32x Combine like terms: 32x + -32x = 0 3 + -39x = -36 + 0 3 + -39x = -36 Add '-3' to each side of the equation. 3 + -3 + -39x = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -39x = -36 + -3 -39x = -36 + -3 Combine like terms: -36 + -3 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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