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Simplifying 5(6x + -3) + 5(16 + -4x) + -3(3x + 2) = -4 Reorder the terms: 5(-3 + 6x) + 5(16 + -4x) + -3(3x + 2) = -4 (-3 * 5 + 6x * 5) + 5(16 + -4x) + -3(3x + 2) = -4 (-15 + 30x) + 5(16 + -4x) + -3(3x + 2) = -4 -15 + 30x + (16 * 5 + -4x * 5) + -3(3x + 2) = -4 -15 + 30x + (80 + -20x) + -3(3x + 2) = -4 Reorder the terms: -15 + 30x + 80 + -20x + -3(2 + 3x) = -4 -15 + 30x + 80 + -20x + (2 * -3 + 3x * -3) = -4 -15 + 30x + 80 + -20x + (-6 + -9x) = -4 Reorder the terms: -15 + 80 + -6 + 30x + -20x + -9x = -4 Combine like terms: -15 + 80 = 65 65 + -6 + 30x + -20x + -9x = -4 Combine like terms: 65 + -6 = 59 59 + 30x + -20x + -9x = -4 Combine like terms: 30x + -20x = 10x 59 + 10x + -9x = -4 Combine like terms: 10x + -9x = 1x 59 + 1x = -4 Solving 59 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 1x = -4 + -59 Combine like terms: 59 + -59 = 0 0 + 1x = -4 + -59 1x = -4 + -59 Combine like terms: -4 + -59 = -63 1x = -63 Divide each side by '1'. x = -63 Simplifying x = -63
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