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Simplifying 5X + -7 = 6(2X + -3) + 2 Reorder the terms: -7 + 5X = 6(2X + -3) + 2 Reorder the terms: -7 + 5X = 6(-3 + 2X) + 2 -7 + 5X = (-3 * 6 + 2X * 6) + 2 -7 + 5X = (-18 + 12X) + 2 Reorder the terms: -7 + 5X = -18 + 2 + 12X Combine like terms: -18 + 2 = -16 -7 + 5X = -16 + 12X Solving -7 + 5X = -16 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -7 + 5X + -12X = -16 + 12X + -12X Combine like terms: 5X + -12X = -7X -7 + -7X = -16 + 12X + -12X Combine like terms: 12X + -12X = 0 -7 + -7X = -16 + 0 -7 + -7X = -16 Add '7' to each side of the equation. -7 + 7 + -7X = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -7X = -16 + 7 -7X = -16 + 7 Combine like terms: -16 + 7 = -9 -7X = -9 Divide each side by '-7'. X = 1.285714286 Simplifying X = 1.285714286
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