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Simplifying 4(2x + 5) + -21 = 7t + -6 Reorder the terms: 4(5 + 2x) + -21 = 7t + -6 (5 * 4 + 2x * 4) + -21 = 7t + -6 (20 + 8x) + -21 = 7t + -6 Reorder the terms: 20 + -21 + 8x = 7t + -6 Combine like terms: 20 + -21 = -1 -1 + 8x = 7t + -6 Reorder the terms: -1 + 8x = -6 + 7t Solving -1 + 8x = -6 + 7t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = -6 + 1 + 7t Combine like terms: -1 + 1 = 0 0 + 8x = -6 + 1 + 7t 8x = -6 + 1 + 7t Combine like terms: -6 + 1 = -5 8x = -5 + 7t Divide each side by '8'. x = -0.625 + 0.875t Simplifying x = -0.625 + 0.875t
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