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Simplifying 10(4 + 10x) + 7 = -49 + 4x (4 * 10 + 10x * 10) + 7 = -49 + 4x (40 + 100x) + 7 = -49 + 4x Reorder the terms: 40 + 7 + 100x = -49 + 4x Combine like terms: 40 + 7 = 47 47 + 100x = -49 + 4x Solving 47 + 100x = -49 + 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. 47 + 100x + -4x = -49 + 4x + -4x Combine like terms: 100x + -4x = 96x 47 + 96x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + 96x = -49 + 0 47 + 96x = -49 Add '-47' to each side of the equation. 47 + -47 + 96x = -49 + -47 Combine like terms: 47 + -47 = 0 0 + 96x = -49 + -47 96x = -49 + -47 Combine like terms: -49 + -47 = -96 96x = -96 Divide each side by '96'. x = -1 Simplifying x = -1
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