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Simplifying 4x + -0.5 = -3(x + 4) Reorder the terms: -0.5 + 4x = -3(x + 4) Reorder the terms: -0.5 + 4x = -3(4 + x) -0.5 + 4x = (4 * -3 + x * -3) -0.5 + 4x = (-12 + -3x) Solving -0.5 + 4x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -0.5 + 4x + 3x = -12 + -3x + 3x Combine like terms: 4x + 3x = 7x -0.5 + 7x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -0.5 + 7x = -12 + 0 -0.5 + 7x = -12 Add '0.5' to each side of the equation. -0.5 + 0.5 + 7x = -12 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 7x = -12 + 0.5 7x = -12 + 0.5 Combine like terms: -12 + 0.5 = -11.5 7x = -11.5 Divide each side by '7'. x = -1.642857143 Simplifying x = -1.642857143
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