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Simplifying 5x + -6[3(x + 5) + -1(x + -3)] + -4 = 0 Reorder the terms: 5x + -6[3(5 + x) + -1(x + -3)] + -4 = 0 5x + -6[(5 * 3 + x * 3) + -1(x + -3)] + -4 = 0 5x + -6[(15 + 3x) + -1(x + -3)] + -4 = 0 Reorder the terms: 5x + -6[15 + 3x + -1(-3 + x)] + -4 = 0 5x + -6[15 + 3x + (-3 * -1 + x * -1)] + -4 = 0 5x + -6[15 + 3x + (3 + -1x)] + -4 = 0 Reorder the terms: 5x + -6[15 + 3 + 3x + -1x] + -4 = 0 Combine like terms: 15 + 3 = 18 5x + -6[18 + 3x + -1x] + -4 = 0 Combine like terms: 3x + -1x = 2x 5x + -6[18 + 2x] + -4 = 0 5x + [18 * -6 + 2x * -6] + -4 = 0 5x + [-108 + -12x] + -4 = 0 Reorder the terms: -108 + -4 + 5x + -12x = 0 Combine like terms: -108 + -4 = -112 -112 + 5x + -12x = 0 Combine like terms: 5x + -12x = -7x -112 + -7x = 0 Solving -112 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + -7x = 0 + 112 Combine like terms: -112 + 112 = 0 0 + -7x = 0 + 112 -7x = 0 + 112 Combine like terms: 0 + 112 = 112 -7x = 112 Divide each side by '-7'. x = -16 Simplifying x = -16
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