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Simplifying -3(2x + 5) = 5 + x + 2(4x + -6) Reorder the terms: -3(5 + 2x) = 5 + x + 2(4x + -6) (5 * -3 + 2x * -3) = 5 + x + 2(4x + -6) (-15 + -6x) = 5 + x + 2(4x + -6) Reorder the terms: -15 + -6x = 5 + x + 2(-6 + 4x) -15 + -6x = 5 + x + (-6 * 2 + 4x * 2) -15 + -6x = 5 + x + (-12 + 8x) Reorder the terms: -15 + -6x = 5 + -12 + x + 8x Combine like terms: 5 + -12 = -7 -15 + -6x = -7 + x + 8x Combine like terms: x + 8x = 9x -15 + -6x = -7 + 9x Solving -15 + -6x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + -6x + -9x = -7 + 9x + -9x Combine like terms: -6x + -9x = -15x -15 + -15x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -15x = -7 + 0 -15 + -15x = -7 Add '15' to each side of the equation. -15 + 15 + -15x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = -7 + 15 -15x = -7 + 15 Combine like terms: -7 + 15 = 8 -15x = 8 Divide each side by '-15'. x = -0.5333333333 Simplifying x = -0.5333333333
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