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Simplifying 100 = 4x + 4(-2x + 13) Reorder the terms: 100 = 4x + 4(13 + -2x) 100 = 4x + (13 * 4 + -2x * 4) 100 = 4x + (52 + -8x) Reorder the terms: 100 = 52 + 4x + -8x Combine like terms: 4x + -8x = -4x 100 = 52 + -4x Solving 100 = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 100 + 4x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 100 + 4x = 52 + 0 100 + 4x = 52 Add '-100' to each side of the equation. 100 + -100 + 4x = 52 + -100 Combine like terms: 100 + -100 = 0 0 + 4x = 52 + -100 4x = 52 + -100 Combine like terms: 52 + -100 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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