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Simplifying 0.5(4x + 8) + -16 = -0.67(9x + -12) Reorder the terms: 0.5(8 + 4x) + -16 = -0.67(9x + -12) (8 * 0.5 + 4x * 0.5) + -16 = -0.67(9x + -12) (4 + 2x) + -16 = -0.67(9x + -12) Reorder the terms: 4 + -16 + 2x = -0.67(9x + -12) Combine like terms: 4 + -16 = -12 -12 + 2x = -0.67(9x + -12) Reorder the terms: -12 + 2x = -0.67(-12 + 9x) -12 + 2x = (-12 * -0.67 + 9x * -0.67) -12 + 2x = (8.04 + -6.03x) Solving -12 + 2x = 8.04 + -6.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.03x' to each side of the equation. -12 + 2x + 6.03x = 8.04 + -6.03x + 6.03x Combine like terms: 2x + 6.03x = 8.03x -12 + 8.03x = 8.04 + -6.03x + 6.03x Combine like terms: -6.03x + 6.03x = 0.00 -12 + 8.03x = 8.04 + 0.00 -12 + 8.03x = 8.04 Add '12' to each side of the equation. -12 + 12 + 8.03x = 8.04 + 12 Combine like terms: -12 + 12 = 0 0 + 8.03x = 8.04 + 12 8.03x = 8.04 + 12 Combine like terms: 8.04 + 12 = 20.04 8.03x = 20.04 Divide each side by '8.03'. x = 2.495641345 Simplifying x = 2.495641345
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