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Simplifying 4x + -9[3x + -7(-2x + -9 + 5x + 3)] = 4x + 3(2x + -9) Reorder the terms: 4x + -9[3x + -7(-9 + 3 + -2x + 5x)] = 4x + 3(2x + -9) Combine like terms: -9 + 3 = -6 4x + -9[3x + -7(-6 + -2x + 5x)] = 4x + 3(2x + -9) Combine like terms: -2x + 5x = 3x 4x + -9[3x + -7(-6 + 3x)] = 4x + 3(2x + -9) 4x + -9[3x + (-6 * -7 + 3x * -7)] = 4x + 3(2x + -9) 4x + -9[3x + (42 + -21x)] = 4x + 3(2x + -9) Reorder the terms: 4x + -9[42 + 3x + -21x] = 4x + 3(2x + -9) Combine like terms: 3x + -21x = -18x 4x + -9[42 + -18x] = 4x + 3(2x + -9) 4x + [42 * -9 + -18x * -9] = 4x + 3(2x + -9) 4x + [-378 + 162x] = 4x + 3(2x + -9) Reorder the terms: -378 + 4x + 162x = 4x + 3(2x + -9) Combine like terms: 4x + 162x = 166x -378 + 166x = 4x + 3(2x + -9) Reorder the terms: -378 + 166x = 4x + 3(-9 + 2x) -378 + 166x = 4x + (-9 * 3 + 2x * 3) -378 + 166x = 4x + (-27 + 6x) Reorder the terms: -378 + 166x = -27 + 4x + 6x Combine like terms: 4x + 6x = 10x -378 + 166x = -27 + 10x Solving -378 + 166x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -378 + 166x + -10x = -27 + 10x + -10x Combine like terms: 166x + -10x = 156x -378 + 156x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 -378 + 156x = -27 + 0 -378 + 156x = -27 Add '378' to each side of the equation. -378 + 378 + 156x = -27 + 378 Combine like terms: -378 + 378 = 0 0 + 156x = -27 + 378 156x = -27 + 378 Combine like terms: -27 + 378 = 351 156x = 351 Divide each side by '156'. x = 2.25 Simplifying x = 2.25
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