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Simplifying -4[3x + 7 + 3(x + 1)] = -7x + -5 Reorder the terms: -4[3x + 7 + 3(1 + x)] = -7x + -5 -4[3x + 7 + (1 * 3 + x * 3)] = -7x + -5 -4[3x + 7 + (3 + 3x)] = -7x + -5 Reorder the terms: -4[7 + 3 + 3x + 3x] = -7x + -5 Combine like terms: 7 + 3 = 10 -4[10 + 3x + 3x] = -7x + -5 Combine like terms: 3x + 3x = 6x -4[10 + 6x] = -7x + -5 [10 * -4 + 6x * -4] = -7x + -5 [-40 + -24x] = -7x + -5 Reorder the terms: -40 + -24x = -5 + -7x Solving -40 + -24x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + -24x + 7x = -5 + -7x + 7x Combine like terms: -24x + 7x = -17x -40 + -17x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + -17x = -5 + 0 -40 + -17x = -5 Add '40' to each side of the equation. -40 + 40 + -17x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + -17x = -5 + 40 -17x = -5 + 40 Combine like terms: -5 + 40 = 35 -17x = 35 Divide each side by '-17'. x = -2.058823529 Simplifying x = -2.058823529
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