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Simplifying 1.2X + -200 = 1.28(X + -200) Reorder the terms: -200 + 1.2X = 1.28(X + -200) Reorder the terms: -200 + 1.2X = 1.28(-200 + X) -200 + 1.2X = (-200 * 1.28 + X * 1.28) -200 + 1.2X = (-256 + 1.28X) Solving -200 + 1.2X = -256 + 1.28X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.28X' to each side of the equation. -200 + 1.2X + -1.28X = -256 + 1.28X + -1.28X Combine like terms: 1.2X + -1.28X = -0.08X -200 + -0.08X = -256 + 1.28X + -1.28X Combine like terms: 1.28X + -1.28X = 0.00 -200 + -0.08X = -256 + 0.00 -200 + -0.08X = -256 Add '200' to each side of the equation. -200 + 200 + -0.08X = -256 + 200 Combine like terms: -200 + 200 = 0 0 + -0.08X = -256 + 200 -0.08X = -256 + 200 Combine like terms: -256 + 200 = -56 -0.08X = -56 Divide each side by '-0.08'. X = 700 Simplifying X = 700
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