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Simplifying 6(4x + -9) + -5 = 6(x + -2) + 61 Reorder the terms: 6(-9 + 4x) + -5 = 6(x + -2) + 61 (-9 * 6 + 4x * 6) + -5 = 6(x + -2) + 61 (-54 + 24x) + -5 = 6(x + -2) + 61 Reorder the terms: -54 + -5 + 24x = 6(x + -2) + 61 Combine like terms: -54 + -5 = -59 -59 + 24x = 6(x + -2) + 61 Reorder the terms: -59 + 24x = 6(-2 + x) + 61 -59 + 24x = (-2 * 6 + x * 6) + 61 -59 + 24x = (-12 + 6x) + 61 Reorder the terms: -59 + 24x = -12 + 61 + 6x Combine like terms: -12 + 61 = 49 -59 + 24x = 49 + 6x Solving -59 + 24x = 49 + 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. -59 + 24x + -6x = 49 + 6x + -6x Combine like terms: 24x + -6x = 18x -59 + 18x = 49 + 6x + -6x Combine like terms: 6x + -6x = 0 -59 + 18x = 49 + 0 -59 + 18x = 49 Add '59' to each side of the equation. -59 + 59 + 18x = 49 + 59 Combine like terms: -59 + 59 = 0 0 + 18x = 49 + 59 18x = 49 + 59 Combine like terms: 49 + 59 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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