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Simplifying 6(6x + -1) + -4(5x + -4) = 15x + -3 Reorder the terms: 6(-1 + 6x) + -4(5x + -4) = 15x + -3 (-1 * 6 + 6x * 6) + -4(5x + -4) = 15x + -3 (-6 + 36x) + -4(5x + -4) = 15x + -3 Reorder the terms: -6 + 36x + -4(-4 + 5x) = 15x + -3 -6 + 36x + (-4 * -4 + 5x * -4) = 15x + -3 -6 + 36x + (16 + -20x) = 15x + -3 Reorder the terms: -6 + 16 + 36x + -20x = 15x + -3 Combine like terms: -6 + 16 = 10 10 + 36x + -20x = 15x + -3 Combine like terms: 36x + -20x = 16x 10 + 16x = 15x + -3 Reorder the terms: 10 + 16x = -3 + 15x Solving 10 + 16x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 16x + -15x = -3 + 15x + -15x Combine like terms: 16x + -15x = 1x 10 + 1x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 1x = -3 + 0 10 + 1x = -3 Add '-10' to each side of the equation. 10 + -10 + 1x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -3 + -10 1x = -3 + -10 Combine like terms: -3 + -10 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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