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Simplifying 100x = 4(x + 2) + -2(x + -4) + 32 Reorder the terms: 100x = 4(2 + x) + -2(x + -4) + 32 100x = (2 * 4 + x * 4) + -2(x + -4) + 32 100x = (8 + 4x) + -2(x + -4) + 32 Reorder the terms: 100x = 8 + 4x + -2(-4 + x) + 32 100x = 8 + 4x + (-4 * -2 + x * -2) + 32 100x = 8 + 4x + (8 + -2x) + 32 Reorder the terms: 100x = 8 + 8 + 32 + 4x + -2x Combine like terms: 8 + 8 = 16 100x = 16 + 32 + 4x + -2x Combine like terms: 16 + 32 = 48 100x = 48 + 4x + -2x Combine like terms: 4x + -2x = 2x 100x = 48 + 2x Solving 100x = 48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 100x + -2x = 48 + 2x + -2x Combine like terms: 100x + -2x = 98x 98x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 98x = 48 + 0 98x = 48 Divide each side by '98'. x = 0.4897959184 Simplifying x = 0.4897959184
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