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Simplifying 5(3x + -6) + -4(x + 3) + -15x = 0 Reorder the terms: 5(-6 + 3x) + -4(x + 3) + -15x = 0 (-6 * 5 + 3x * 5) + -4(x + 3) + -15x = 0 (-30 + 15x) + -4(x + 3) + -15x = 0 Reorder the terms: -30 + 15x + -4(3 + x) + -15x = 0 -30 + 15x + (3 * -4 + x * -4) + -15x = 0 -30 + 15x + (-12 + -4x) + -15x = 0 Reorder the terms: -30 + -12 + 15x + -4x + -15x = 0 Combine like terms: -30 + -12 = -42 -42 + 15x + -4x + -15x = 0 Combine like terms: 15x + -4x = 11x -42 + 11x + -15x = 0 Combine like terms: 11x + -15x = -4x -42 + -4x = 0 Solving -42 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -4x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 0 + 42 -4x = 0 + 42 Combine like terms: 0 + 42 = 42 -4x = 42 Divide each side by '-4'. x = -10.5 Simplifying x = -10.5
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