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Simplifying 3 + -3[(9x + -6) + -10x] = 4[4 + -1(x + -3)] Reorder the terms: 3 + -3[(-6 + 9x) + -10x] = 4[4 + -1(x + -3)] Remove parenthesis around (-6 + 9x) 3 + -3[-6 + 9x + -10x] = 4[4 + -1(x + -3)] Combine like terms: 9x + -10x = -1x 3 + -3[-6 + -1x] = 4[4 + -1(x + -3)] 3 + [-6 * -3 + -1x * -3] = 4[4 + -1(x + -3)] 3 + [18 + 3x] = 4[4 + -1(x + -3)] Combine like terms: 3 + 18 = 21 21 + 3x = 4[4 + -1(x + -3)] Reorder the terms: 21 + 3x = 4[4 + -1(-3 + x)] 21 + 3x = 4[4 + (-3 * -1 + x * -1)] 21 + 3x = 4[4 + (3 + -1x)] Combine like terms: 4 + 3 = 7 21 + 3x = 4[7 + -1x] 21 + 3x = [7 * 4 + -1x * 4] 21 + 3x = [28 + -4x] Solving 21 + 3x = 28 + -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. 21 + 3x + 4x = 28 + -4x + 4x Combine like terms: 3x + 4x = 7x 21 + 7x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 7x = 28 + 0 21 + 7x = 28 Add '-21' to each side of the equation. 21 + -21 + 7x = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 28 + -21 7x = 28 + -21 Combine like terms: 28 + -21 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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