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Simplifying 4[x + -3(2x + -1)] = 4x + 7 Reorder the terms: 4[x + -3(-1 + 2x)] = 4x + 7 4[x + (-1 * -3 + 2x * -3)] = 4x + 7 4[x + (3 + -6x)] = 4x + 7 Reorder the terms: 4[3 + x + -6x] = 4x + 7 Combine like terms: x + -6x = -5x 4[3 + -5x] = 4x + 7 [3 * 4 + -5x * 4] = 4x + 7 [12 + -20x] = 4x + 7 Reorder the terms: 12 + -20x = 7 + 4x Solving 12 + -20x = 7 + 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. 12 + -20x + -4x = 7 + 4x + -4x Combine like terms: -20x + -4x = -24x 12 + -24x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -24x = 7 + 0 12 + -24x = 7 Add '-12' to each side of the equation. 12 + -12 + -24x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = 7 + -12 -24x = 7 + -12 Combine like terms: 7 + -12 = -5 -24x = -5 Divide each side by '-24'. x = 0.2083333333 Simplifying x = 0.2083333333
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