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Simplifying 6(4x + -7) + -4 = 6(x + -2) + 92 Reorder the terms: 6(-7 + 4x) + -4 = 6(x + -2) + 92 (-7 * 6 + 4x * 6) + -4 = 6(x + -2) + 92 (-42 + 24x) + -4 = 6(x + -2) + 92 Reorder the terms: -42 + -4 + 24x = 6(x + -2) + 92 Combine like terms: -42 + -4 = -46 -46 + 24x = 6(x + -2) + 92 Reorder the terms: -46 + 24x = 6(-2 + x) + 92 -46 + 24x = (-2 * 6 + x * 6) + 92 -46 + 24x = (-12 + 6x) + 92 Reorder the terms: -46 + 24x = -12 + 92 + 6x Combine like terms: -12 + 92 = 80 -46 + 24x = 80 + 6x Solving -46 + 24x = 80 + 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. -46 + 24x + -6x = 80 + 6x + -6x Combine like terms: 24x + -6x = 18x -46 + 18x = 80 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 18x = 80 + 0 -46 + 18x = 80 Add '46' to each side of the equation. -46 + 46 + 18x = 80 + 46 Combine like terms: -46 + 46 = 0 0 + 18x = 80 + 46 18x = 80 + 46 Combine like terms: 80 + 46 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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