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Simplifying 5 + 2(x + -4) = 6(x + -7) Reorder the terms: 5 + 2(-4 + x) = 6(x + -7) 5 + (-4 * 2 + x * 2) = 6(x + -7) 5 + (-8 + 2x) = 6(x + -7) Combine like terms: 5 + -8 = -3 -3 + 2x = 6(x + -7) Reorder the terms: -3 + 2x = 6(-7 + x) -3 + 2x = (-7 * 6 + x * 6) -3 + 2x = (-42 + 6x) Solving -3 + 2x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 2x + -6x = -42 + 6x + -6x Combine like terms: 2x + -6x = -4x -3 + -4x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -4x = -42 + 0 -3 + -4x = -42 Add '3' to each side of the equation. -3 + 3 + -4x = -42 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -42 + 3 -4x = -42 + 3 Combine like terms: -42 + 3 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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