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Simplifying 6(x + -3) + 7 = 2(x + -6) Reorder the terms: 6(-3 + x) + 7 = 2(x + -6) (-3 * 6 + x * 6) + 7 = 2(x + -6) (-18 + 6x) + 7 = 2(x + -6) Reorder the terms: -18 + 7 + 6x = 2(x + -6) Combine like terms: -18 + 7 = -11 -11 + 6x = 2(x + -6) Reorder the terms: -11 + 6x = 2(-6 + x) -11 + 6x = (-6 * 2 + x * 2) -11 + 6x = (-12 + 2x) Solving -11 + 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. -11 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -11 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 4x = -12 + 0 -11 + 4x = -12 Add '11' to each side of the equation. -11 + 11 + 4x = -12 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -12 + 11 4x = -12 + 11 Combine like terms: -12 + 11 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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