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Simplifying 6(4x + -3) + -5(3x + -14) = 8x + 1o Reorder the terms: 6(-3 + 4x) + -5(3x + -14) = 8x + 1o (-3 * 6 + 4x * 6) + -5(3x + -14) = 8x + 1o (-18 + 24x) + -5(3x + -14) = 8x + 1o Reorder the terms: -18 + 24x + -5(-14 + 3x) = 8x + 1o -18 + 24x + (-14 * -5 + 3x * -5) = 8x + 1o -18 + 24x + (70 + -15x) = 8x + 1o Reorder the terms: -18 + 70 + 24x + -15x = 8x + 1o Combine like terms: -18 + 70 = 52 52 + 24x + -15x = 8x + 1o Combine like terms: 24x + -15x = 9x 52 + 9x = 8x + 1o Reorder the terms: 52 + 9x = 1o + 8x Solving 52 + 9x = 1o + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + 9x + -8x = 1o + 8x + -8x Combine like terms: 9x + -8x = 1x 52 + 1x = 1o + 8x + -8x Combine like terms: 8x + -8x = 0 52 + 1x = 1o + 0 52 + 1x = 1o Add '-52' to each side of the equation. 52 + -52 + 1x = -52 + 1o Combine like terms: 52 + -52 = 0 0 + 1x = -52 + 1o 1x = -52 + 1o Divide each side by '1'. x = -52 + 1o Simplifying x = -52 + 1o
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