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Simplifying -2(4x + -6) + 5(2x + -3) = -4(4x + -2) Reorder the terms: -2(-6 + 4x) + 5(2x + -3) = -4(4x + -2) (-6 * -2 + 4x * -2) + 5(2x + -3) = -4(4x + -2) (12 + -8x) + 5(2x + -3) = -4(4x + -2) Reorder the terms: 12 + -8x + 5(-3 + 2x) = -4(4x + -2) 12 + -8x + (-3 * 5 + 2x * 5) = -4(4x + -2) 12 + -8x + (-15 + 10x) = -4(4x + -2) Reorder the terms: 12 + -15 + -8x + 10x = -4(4x + -2) Combine like terms: 12 + -15 = -3 -3 + -8x + 10x = -4(4x + -2) Combine like terms: -8x + 10x = 2x -3 + 2x = -4(4x + -2) Reorder the terms: -3 + 2x = -4(-2 + 4x) -3 + 2x = (-2 * -4 + 4x * -4) -3 + 2x = (8 + -16x) Solving -3 + 2x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -3 + 2x + 16x = 8 + -16x + 16x Combine like terms: 2x + 16x = 18x -3 + 18x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 -3 + 18x = 8 + 0 -3 + 18x = 8 Add '3' to each side of the equation. -3 + 3 + 18x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 8 + 3 18x = 8 + 3 Combine like terms: 8 + 3 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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