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Simplifying 6(4x + -7) + -5 = 6(x + -2) + 91 Reorder the terms: 6(-7 + 4x) + -5 = 6(x + -2) + 91 (-7 * 6 + 4x * 6) + -5 = 6(x + -2) + 91 (-42 + 24x) + -5 = 6(x + -2) + 91 Reorder the terms: -42 + -5 + 24x = 6(x + -2) + 91 Combine like terms: -42 + -5 = -47 -47 + 24x = 6(x + -2) + 91 Reorder the terms: -47 + 24x = 6(-2 + x) + 91 -47 + 24x = (-2 * 6 + x * 6) + 91 -47 + 24x = (-12 + 6x) + 91 Reorder the terms: -47 + 24x = -12 + 91 + 6x Combine like terms: -12 + 91 = 79 -47 + 24x = 79 + 6x Solving -47 + 24x = 79 + 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. -47 + 24x + -6x = 79 + 6x + -6x Combine like terms: 24x + -6x = 18x -47 + 18x = 79 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + 18x = 79 + 0 -47 + 18x = 79 Add '47' to each side of the equation. -47 + 47 + 18x = 79 + 47 Combine like terms: -47 + 47 = 0 0 + 18x = 79 + 47 18x = 79 + 47 Combine like terms: 79 + 47 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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