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Simplifying 4(x + 7) + -10(13x + 6) = 20 Reorder the terms: 4(7 + x) + -10(13x + 6) = 20 (7 * 4 + x * 4) + -10(13x + 6) = 20 (28 + 4x) + -10(13x + 6) = 20 Reorder the terms: 28 + 4x + -10(6 + 13x) = 20 28 + 4x + (6 * -10 + 13x * -10) = 20 28 + 4x + (-60 + -130x) = 20 Reorder the terms: 28 + -60 + 4x + -130x = 20 Combine like terms: 28 + -60 = -32 -32 + 4x + -130x = 20 Combine like terms: 4x + -130x = -126x -32 + -126x = 20 Solving -32 + -126x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -126x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -126x = 20 + 32 -126x = 20 + 32 Combine like terms: 20 + 32 = 52 -126x = 52 Divide each side by '-126'. x = -0.4126984127 Simplifying x = -0.4126984127
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