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Simplifying 6x + 7 = 2(x + -6) Reorder the terms: 7 + 6x = 2(x + -6) Reorder the terms: 7 + 6x = 2(-6 + x) 7 + 6x = (-6 * 2 + x * 2) 7 + 6x = (-12 + 2x) Solving 7 + 6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x 7 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 4x = -12 + 0 7 + 4x = -12 Add '-7' to each side of the equation. 7 + -7 + 4x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -12 + -7 4x = -12 + -7 Combine like terms: -12 + -7 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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