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Simplifying 6[3(4x + -6) + -3(4x + -7)] = 6x + 54 Reorder the terms: 6[3(-6 + 4x) + -3(4x + -7)] = 6x + 54 6[(-6 * 3 + 4x * 3) + -3(4x + -7)] = 6x + 54 6[(-18 + 12x) + -3(4x + -7)] = 6x + 54 Reorder the terms: 6[-18 + 12x + -3(-7 + 4x)] = 6x + 54 6[-18 + 12x + (-7 * -3 + 4x * -3)] = 6x + 54 6[-18 + 12x + (21 + -12x)] = 6x + 54 Reorder the terms: 6[-18 + 21 + 12x + -12x] = 6x + 54 Combine like terms: -18 + 21 = 3 6[3 + 12x + -12x] = 6x + 54 Combine like terms: 12x + -12x = 0 6[3 + 0] = 6x + 54 6[3] = 6x + 54 Multiply 6 * 3 18 = 6x + 54 Reorder the terms: 18 = 54 + 6x Solving 18 = 54 + 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. 18 + -6x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -6x = 54 + 0 18 + -6x = 54 Add '-18' to each side of the equation. 18 + -18 + -6x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 54 + -18 -6x = 54 + -18 Combine like terms: 54 + -18 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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