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Simplifying (4x + -3) * 0.5 + -6x = -4(5 + 9x) Reorder the terms: (-3 + 4x) * 0.5 + -6x = -4(5 + 9x) Reorder the terms for easier multiplication: 0.5(-3 + 4x) + -6x = -4(5 + 9x) (-3 * 0.5 + 4x * 0.5) + -6x = -4(5 + 9x) (-1.5 + 2x) + -6x = -4(5 + 9x) Combine like terms: 2x + -6x = -4x -1.5 + -4x = -4(5 + 9x) -1.5 + -4x = (5 * -4 + 9x * -4) -1.5 + -4x = (-20 + -36x) Solving -1.5 + -4x = -20 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -1.5 + -4x + 36x = -20 + -36x + 36x Combine like terms: -4x + 36x = 32x -1.5 + 32x = -20 + -36x + 36x Combine like terms: -36x + 36x = 0 -1.5 + 32x = -20 + 0 -1.5 + 32x = -20 Add '1.5' to each side of the equation. -1.5 + 1.5 + 32x = -20 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 32x = -20 + 1.5 32x = -20 + 1.5 Combine like terms: -20 + 1.5 = -18.5 32x = -18.5 Divide each side by '32'. x = -0.578125 Simplifying x = -0.578125
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