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Simplifying 5 + 3(2x + -7) + -3(4x + 2) + -10 = 0 Reorder the terms: 5 + 3(-7 + 2x) + -3(4x + 2) + -10 = 0 5 + (-7 * 3 + 2x * 3) + -3(4x + 2) + -10 = 0 5 + (-21 + 6x) + -3(4x + 2) + -10 = 0 Reorder the terms: 5 + -21 + 6x + -3(2 + 4x) + -10 = 0 5 + -21 + 6x + (2 * -3 + 4x * -3) + -10 = 0 5 + -21 + 6x + (-6 + -12x) + -10 = 0 Reorder the terms: 5 + -21 + -6 + -10 + 6x + -12x = 0 Combine like terms: 5 + -21 = -16 -16 + -6 + -10 + 6x + -12x = 0 Combine like terms: -16 + -6 = -22 -22 + -10 + 6x + -12x = 0 Combine like terms: -22 + -10 = -32 -32 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -32 + -6x = 0 Solving -32 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -6x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 0 + 32 -6x = 0 + 32 Combine like terms: 0 + 32 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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