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Simplifying 4X + -45 + 7X + -12 = 3X + 4X + -8 Reorder the terms: -45 + -12 + 4X + 7X = 3X + 4X + -8 Combine like terms: -45 + -12 = -57 -57 + 4X + 7X = 3X + 4X + -8 Combine like terms: 4X + 7X = 11X -57 + 11X = 3X + 4X + -8 Reorder the terms: -57 + 11X = -8 + 3X + 4X Combine like terms: 3X + 4X = 7X -57 + 11X = -8 + 7X Solving -57 + 11X = -8 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -57 + 11X + -7X = -8 + 7X + -7X Combine like terms: 11X + -7X = 4X -57 + 4X = -8 + 7X + -7X Combine like terms: 7X + -7X = 0 -57 + 4X = -8 + 0 -57 + 4X = -8 Add '57' to each side of the equation. -57 + 57 + 4X = -8 + 57 Combine like terms: -57 + 57 = 0 0 + 4X = -8 + 57 4X = -8 + 57 Combine like terms: -8 + 57 = 49 4X = 49 Divide each side by '4'. X = 12.25 Simplifying X = 12.25
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