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Simplifying 5 + 2(3x + -6) = -4(6x + -7) Reorder the terms: 5 + 2(-6 + 3x) = -4(6x + -7) 5 + (-6 * 2 + 3x * 2) = -4(6x + -7) 5 + (-12 + 6x) = -4(6x + -7) Combine like terms: 5 + -12 = -7 -7 + 6x = -4(6x + -7) Reorder the terms: -7 + 6x = -4(-7 + 6x) -7 + 6x = (-7 * -4 + 6x * -4) -7 + 6x = (28 + -24x) Solving -7 + 6x = 28 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -7 + 6x + 24x = 28 + -24x + 24x Combine like terms: 6x + 24x = 30x -7 + 30x = 28 + -24x + 24x Combine like terms: -24x + 24x = 0 -7 + 30x = 28 + 0 -7 + 30x = 28 Add '7' to each side of the equation. -7 + 7 + 30x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 30x = 28 + 7 30x = 28 + 7 Combine like terms: 28 + 7 = 35 30x = 35 Divide each side by '30'. x = 1.166666667 Simplifying x = 1.166666667
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