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Simplifying 10x + -3(5 + 14x) + (-153) = 6(x + 2) 10x + (5 * -3 + 14x * -3) + (-153) = 6(x + 2) 10x + (-15 + -42x) + (-153) = 6(x + 2) 10x + -15 + -42x + -153 = 6(x + 2) Reorder the terms: -15 + -153 + 10x + -42x = 6(x + 2) Combine like terms: -15 + -153 = -168 -168 + 10x + -42x = 6(x + 2) Combine like terms: 10x + -42x = -32x -168 + -32x = 6(x + 2) Reorder the terms: -168 + -32x = 6(2 + x) -168 + -32x = (2 * 6 + x * 6) -168 + -32x = (12 + 6x) Solving -168 + -32x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -168 + -32x + -6x = 12 + 6x + -6x Combine like terms: -32x + -6x = -38x -168 + -38x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -168 + -38x = 12 + 0 -168 + -38x = 12 Add '168' to each side of the equation. -168 + 168 + -38x = 12 + 168 Combine like terms: -168 + 168 = 0 0 + -38x = 12 + 168 -38x = 12 + 168 Combine like terms: 12 + 168 = 180 -38x = 180 Divide each side by '-38'. x = -4.736842105 Simplifying x = -4.736842105
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