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Simplifying 6(4x + -8) + -4 = 6(x + -2) + 86 Reorder the terms: 6(-8 + 4x) + -4 = 6(x + -2) + 86 (-8 * 6 + 4x * 6) + -4 = 6(x + -2) + 86 (-48 + 24x) + -4 = 6(x + -2) + 86 Reorder the terms: -48 + -4 + 24x = 6(x + -2) + 86 Combine like terms: -48 + -4 = -52 -52 + 24x = 6(x + -2) + 86 Reorder the terms: -52 + 24x = 6(-2 + x) + 86 -52 + 24x = (-2 * 6 + x * 6) + 86 -52 + 24x = (-12 + 6x) + 86 Reorder the terms: -52 + 24x = -12 + 86 + 6x Combine like terms: -12 + 86 = 74 -52 + 24x = 74 + 6x Solving -52 + 24x = 74 + 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. -52 + 24x + -6x = 74 + 6x + -6x Combine like terms: 24x + -6x = 18x -52 + 18x = 74 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + 18x = 74 + 0 -52 + 18x = 74 Add '52' to each side of the equation. -52 + 52 + 18x = 74 + 52 Combine like terms: -52 + 52 = 0 0 + 18x = 74 + 52 18x = 74 + 52 Combine like terms: 74 + 52 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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