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Simplifying 6[2 + 6(6x + -3)] = 4x + -1156 Reorder the terms: 6[2 + 6(-3 + 6x)] = 4x + -1156 6[2 + (-3 * 6 + 6x * 6)] = 4x + -1156 6[2 + (-18 + 36x)] = 4x + -1156 Combine like terms: 2 + -18 = -16 6[-16 + 36x] = 4x + -1156 [-16 * 6 + 36x * 6] = 4x + -1156 [-96 + 216x] = 4x + -1156 Reorder the terms: -96 + 216x = -1156 + 4x Solving -96 + 216x = -1156 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -96 + 216x + -4x = -1156 + 4x + -4x Combine like terms: 216x + -4x = 212x -96 + 212x = -1156 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + 212x = -1156 + 0 -96 + 212x = -1156 Add '96' to each side of the equation. -96 + 96 + 212x = -1156 + 96 Combine like terms: -96 + 96 = 0 0 + 212x = -1156 + 96 212x = -1156 + 96 Combine like terms: -1156 + 96 = -1060 212x = -1060 Divide each side by '212'. x = -5 Simplifying x = -5
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