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Simplifying 6(4x + -7) + -3 = 6(x + -3) + 99 Reorder the terms: 6(-7 + 4x) + -3 = 6(x + -3) + 99 (-7 * 6 + 4x * 6) + -3 = 6(x + -3) + 99 (-42 + 24x) + -3 = 6(x + -3) + 99 Reorder the terms: -42 + -3 + 24x = 6(x + -3) + 99 Combine like terms: -42 + -3 = -45 -45 + 24x = 6(x + -3) + 99 Reorder the terms: -45 + 24x = 6(-3 + x) + 99 -45 + 24x = (-3 * 6 + x * 6) + 99 -45 + 24x = (-18 + 6x) + 99 Reorder the terms: -45 + 24x = -18 + 99 + 6x Combine like terms: -18 + 99 = 81 -45 + 24x = 81 + 6x Solving -45 + 24x = 81 + 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. -45 + 24x + -6x = 81 + 6x + -6x Combine like terms: 24x + -6x = 18x -45 + 18x = 81 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 18x = 81 + 0 -45 + 18x = 81 Add '45' to each side of the equation. -45 + 45 + 18x = 81 + 45 Combine like terms: -45 + 45 = 0 0 + 18x = 81 + 45 18x = 81 + 45 Combine like terms: 81 + 45 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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