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Simplifying 6(4x + -3) + 12X + 10(x + -4) = 646 Reorder the terms: 6(-3 + 4x) + 12X + 10(x + -4) = 646 (-3 * 6 + 4x * 6) + 12X + 10(x + -4) = 646 (-18 + 24x) + 12X + 10(x + -4) = 646 Reorder the terms: -18 + 24x + 12X + 10(-4 + x) = 646 -18 + 24x + 12X + (-4 * 10 + x * 10) = 646 -18 + 24x + 12X + (-40 + 10x) = 646 Reorder the terms: -18 + -40 + 12X + 24x + 10x = 646 Combine like terms: -18 + -40 = -58 -58 + 12X + 24x + 10x = 646 Combine like terms: 24x + 10x = 34x -58 + 12X + 34x = 646 Solving -58 + 12X + 34x = 646 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 12X + 58 + 34x = 646 + 58 Reorder the terms: -58 + 58 + 12X + 34x = 646 + 58 Combine like terms: -58 + 58 = 0 0 + 12X + 34x = 646 + 58 12X + 34x = 646 + 58 Combine like terms: 646 + 58 = 704 12X + 34x = 704 Add '-34x' to each side of the equation. 12X + 34x + -34x = 704 + -34x Combine like terms: 34x + -34x = 0 12X + 0 = 704 + -34x 12X = 704 + -34x Divide each side by '12'. X = 58.66666667 + -2.833333333x Simplifying X = 58.66666667 + -2.833333333x
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