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Simplifying 7(x + -3) + (7 + -2x) * 4 = 0 Reorder the terms: 7(-3 + x) + (7 + -2x) * 4 = 0 (-3 * 7 + x * 7) + (7 + -2x) * 4 = 0 (-21 + 7x) + (7 + -2x) * 4 = 0 Reorder the terms for easier multiplication: -21 + 7x + 4(7 + -2x) = 0 -21 + 7x + (7 * 4 + -2x * 4) = 0 -21 + 7x + (28 + -8x) = 0 Reorder the terms: -21 + 28 + 7x + -8x = 0 Combine like terms: -21 + 28 = 7 7 + 7x + -8x = 0 Combine like terms: 7x + -8x = -1x 7 + -1x = 0 Solving 7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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