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Simplifying -4x + 3(-2x + -5) = -3 + -6(3x + -4) Reorder the terms: -4x + 3(-5 + -2x) = -3 + -6(3x + -4) -4x + (-5 * 3 + -2x * 3) = -3 + -6(3x + -4) -4x + (-15 + -6x) = -3 + -6(3x + -4) Reorder the terms: -15 + -4x + -6x = -3 + -6(3x + -4) Combine like terms: -4x + -6x = -10x -15 + -10x = -3 + -6(3x + -4) Reorder the terms: -15 + -10x = -3 + -6(-4 + 3x) -15 + -10x = -3 + (-4 * -6 + 3x * -6) -15 + -10x = -3 + (24 + -18x) Combine like terms: -3 + 24 = 21 -15 + -10x = 21 + -18x Solving -15 + -10x = 21 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -15 + -10x + 18x = 21 + -18x + 18x Combine like terms: -10x + 18x = 8x -15 + 8x = 21 + -18x + 18x Combine like terms: -18x + 18x = 0 -15 + 8x = 21 + 0 -15 + 8x = 21 Add '15' to each side of the equation. -15 + 15 + 8x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 21 + 15 8x = 21 + 15 Combine like terms: 21 + 15 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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