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Simplifying 100x = 2x + 3 + -4(2x + 3) Reorder the terms: 100x = 2x + 3 + -4(3 + 2x) 100x = 2x + 3 + (3 * -4 + 2x * -4) 100x = 2x + 3 + (-12 + -8x) Reorder the terms: 100x = 3 + -12 + 2x + -8x Combine like terms: 3 + -12 = -9 100x = -9 + 2x + -8x Combine like terms: 2x + -8x = -6x 100x = -9 + -6x Solving 100x = -9 + -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. 100x + 6x = -9 + -6x + 6x Combine like terms: 100x + 6x = 106x 106x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 106x = -9 + 0 106x = -9 Divide each side by '106'. x = -0.08490566038 Simplifying x = -0.08490566038
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