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Simplifying -5x + 7 + 4x = -2(X + 6) + x Reorder the terms: 7 + -5x + 4x = -2(X + 6) + x Combine like terms: -5x + 4x = -1x 7 + -1x = -2(X + 6) + x Reorder the terms: 7 + -1x = -2(6 + X) + x 7 + -1x = (6 * -2 + X * -2) + x 7 + -1x = (-12 + -2X) + x Solving 7 + -1x = -12 + -2X + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x + -1x = -12 + -2X + x + -1x Combine like terms: -1x + -1x = -2x 7 + -2x = -12 + -2X + x + -1x Combine like terms: x + -1x = 0 7 + -2x = -12 + -2X + 0 7 + -2x = -12 + -2X Add '-7' to each side of the equation. 7 + -7 + -2x = -12 + -7 + -2X Combine like terms: 7 + -7 = 0 0 + -2x = -12 + -7 + -2X -2x = -12 + -7 + -2X Combine like terms: -12 + -7 = -19 -2x = -19 + -2X Divide each side by '-2'. x = 9.5 + X Simplifying x = 9.5 + X
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