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Simplifying 5(6x + 3) + 2(3x + -1) = 4(5x + -4) Reorder the terms: 5(3 + 6x) + 2(3x + -1) = 4(5x + -4) (3 * 5 + 6x * 5) + 2(3x + -1) = 4(5x + -4) (15 + 30x) + 2(3x + -1) = 4(5x + -4) Reorder the terms: 15 + 30x + 2(-1 + 3x) = 4(5x + -4) 15 + 30x + (-1 * 2 + 3x * 2) = 4(5x + -4) 15 + 30x + (-2 + 6x) = 4(5x + -4) Reorder the terms: 15 + -2 + 30x + 6x = 4(5x + -4) Combine like terms: 15 + -2 = 13 13 + 30x + 6x = 4(5x + -4) Combine like terms: 30x + 6x = 36x 13 + 36x = 4(5x + -4) Reorder the terms: 13 + 36x = 4(-4 + 5x) 13 + 36x = (-4 * 4 + 5x * 4) 13 + 36x = (-16 + 20x) Solving 13 + 36x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 13 + 36x + -20x = -16 + 20x + -20x Combine like terms: 36x + -20x = 16x 13 + 16x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 13 + 16x = -16 + 0 13 + 16x = -16 Add '-13' to each side of the equation. 13 + -13 + 16x = -16 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = -16 + -13 16x = -16 + -13 Combine like terms: -16 + -13 = -29 16x = -29 Divide each side by '16'. x = -1.8125 Simplifying x = -1.8125
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