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Simplifying 3[x + 3(4x + -5)] = 15x + -24 Reorder the terms: 3[x + 3(-5 + 4x)] = 15x + -24 3[x + (-5 * 3 + 4x * 3)] = 15x + -24 3[x + (-15 + 12x)] = 15x + -24 Reorder the terms: 3[-15 + x + 12x] = 15x + -24 Combine like terms: x + 12x = 13x 3[-15 + 13x] = 15x + -24 [-15 * 3 + 13x * 3] = 15x + -24 [-45 + 39x] = 15x + -24 Reorder the terms: -45 + 39x = -24 + 15x Solving -45 + 39x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -45 + 39x + -15x = -24 + 15x + -15x Combine like terms: 39x + -15x = 24x -45 + 24x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + 24x = -24 + 0 -45 + 24x = -24 Add '45' to each side of the equation. -45 + 45 + 24x = -24 + 45 Combine like terms: -45 + 45 = 0 0 + 24x = -24 + 45 24x = -24 + 45 Combine like terms: -24 + 45 = 21 24x = 21 Divide each side by '24'. x = 0.875 Simplifying x = 0.875
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