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Simplifying 3[x + -1(4x + -1)] = 3(2x + -5) Reorder the terms: 3[x + -1(-1 + 4x)] = 3(2x + -5) 3[x + (-1 * -1 + 4x * -1)] = 3(2x + -5) 3[x + (1 + -4x)] = 3(2x + -5) Reorder the terms: 3[1 + x + -4x] = 3(2x + -5) Combine like terms: x + -4x = -3x 3[1 + -3x] = 3(2x + -5) [1 * 3 + -3x * 3] = 3(2x + -5) [3 + -9x] = 3(2x + -5) Reorder the terms: 3 + -9x = 3(-5 + 2x) 3 + -9x = (-5 * 3 + 2x * 3) 3 + -9x = (-15 + 6x) Solving 3 + -9x = -15 + 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. 3 + -9x + -6x = -15 + 6x + -6x Combine like terms: -9x + -6x = -15x 3 + -15x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -15x = -15 + 0 3 + -15x = -15 Add '-3' to each side of the equation. 3 + -3 + -15x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = -15 + -3 -15x = -15 + -3 Combine like terms: -15 + -3 = -18 -15x = -18 Divide each side by '-15'. x = 1.2 Simplifying x = 1.2
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