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Simplifying 6(4x + -5) + -12(6x + -2) = 7(14x + 18) Reorder the terms: 6(-5 + 4x) + -12(6x + -2) = 7(14x + 18) (-5 * 6 + 4x * 6) + -12(6x + -2) = 7(14x + 18) (-30 + 24x) + -12(6x + -2) = 7(14x + 18) Reorder the terms: -30 + 24x + -12(-2 + 6x) = 7(14x + 18) -30 + 24x + (-2 * -12 + 6x * -12) = 7(14x + 18) -30 + 24x + (24 + -72x) = 7(14x + 18) Reorder the terms: -30 + 24 + 24x + -72x = 7(14x + 18) Combine like terms: -30 + 24 = -6 -6 + 24x + -72x = 7(14x + 18) Combine like terms: 24x + -72x = -48x -6 + -48x = 7(14x + 18) Reorder the terms: -6 + -48x = 7(18 + 14x) -6 + -48x = (18 * 7 + 14x * 7) -6 + -48x = (126 + 98x) Solving -6 + -48x = 126 + 98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98x' to each side of the equation. -6 + -48x + -98x = 126 + 98x + -98x Combine like terms: -48x + -98x = -146x -6 + -146x = 126 + 98x + -98x Combine like terms: 98x + -98x = 0 -6 + -146x = 126 + 0 -6 + -146x = 126 Add '6' to each side of the equation. -6 + 6 + -146x = 126 + 6 Combine like terms: -6 + 6 = 0 0 + -146x = 126 + 6 -146x = 126 + 6 Combine like terms: 126 + 6 = 132 -146x = 132 Divide each side by '-146'. x = -0.904109589 Simplifying x = -0.904109589
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