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Simplifying 3[5 + -1(6x + -7)] + 3x = 0 Reorder the terms: 3[5 + -1(-7 + 6x)] + 3x = 0 3[5 + (-7 * -1 + 6x * -1)] + 3x = 0 3[5 + (7 + -6x)] + 3x = 0 Combine like terms: 5 + 7 = 12 3[12 + -6x] + 3x = 0 [12 * 3 + -6x * 3] + 3x = 0 [36 + -18x] + 3x = 0 Combine like terms: -18x + 3x = -15x 36 + -15x = 0 Solving 36 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -15x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -15x = 0 + -36 -15x = 0 + -36 Combine like terms: 0 + -36 = -36 -15x = -36 Divide each side by '-15'. x = 2.4 Simplifying x = 2.4
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