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Simplifying 5(x + -6) + 4(2x + -8) + -3 = 0 Reorder the terms: 5(-6 + x) + 4(2x + -8) + -3 = 0 (-6 * 5 + x * 5) + 4(2x + -8) + -3 = 0 (-30 + 5x) + 4(2x + -8) + -3 = 0 Reorder the terms: -30 + 5x + 4(-8 + 2x) + -3 = 0 -30 + 5x + (-8 * 4 + 2x * 4) + -3 = 0 -30 + 5x + (-32 + 8x) + -3 = 0 Reorder the terms: -30 + -32 + -3 + 5x + 8x = 0 Combine like terms: -30 + -32 = -62 -62 + -3 + 5x + 8x = 0 Combine like terms: -62 + -3 = -65 -65 + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x -65 + 13x = 0 Solving -65 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 13x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 13x = 0 + 65 13x = 0 + 65 Combine like terms: 0 + 65 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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