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Simplifying 7 + 3[4(2x + -3) + -8x] = 3x + -8 Reorder the terms: 7 + 3[4(-3 + 2x) + -8x] = 3x + -8 7 + 3[(-3 * 4 + 2x * 4) + -8x] = 3x + -8 7 + 3[(-12 + 8x) + -8x] = 3x + -8 Combine like terms: 8x + -8x = 0 7 + 3[-12 + 0] = 3x + -8 7 + 3[-12] = 3x + -8 Multiply 3 * -12 7 + -36 = 3x + -8 Combine like terms: 7 + -36 = -29 -29 = 3x + -8 Reorder the terms: -29 = -8 + 3x Solving -29 = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + -3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + -3x = -8 + 0 -29 + -3x = -8 Add '29' to each side of the equation. -29 + 29 + -3x = -8 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -8 + 29 -3x = -8 + 29 Combine like terms: -8 + 29 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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