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Simplifying 5(x + -6) + -4(6x + 1) = x + -34 Reorder the terms: 5(-6 + x) + -4(6x + 1) = x + -34 (-6 * 5 + x * 5) + -4(6x + 1) = x + -34 (-30 + 5x) + -4(6x + 1) = x + -34 Reorder the terms: -30 + 5x + -4(1 + 6x) = x + -34 -30 + 5x + (1 * -4 + 6x * -4) = x + -34 -30 + 5x + (-4 + -24x) = x + -34 Reorder the terms: -30 + -4 + 5x + -24x = x + -34 Combine like terms: -30 + -4 = -34 -34 + 5x + -24x = x + -34 Combine like terms: 5x + -24x = -19x -34 + -19x = x + -34 Reorder the terms: -34 + -19x = -34 + x Add '34' to each side of the equation. -34 + 34 + -19x = -34 + 34 + x Combine like terms: -34 + 34 = 0 0 + -19x = -34 + 34 + x -19x = -34 + 34 + x Combine like terms: -34 + 34 = 0 -19x = 0 + x -19x = x Solving -19x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -19x + -1x = x + -1x Combine like terms: -19x + -1x = -20x -20x = x + -1x Combine like terms: x + -1x = 0 -20x = 0 Divide each side by '-20'. x = 0.0 Simplifying x = 0.0
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