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Simplifying 5(2.9x + -3) = 2(x + 4) Reorder the terms: 5(-3 + 2.9x) = 2(x + 4) (-3 * 5 + 2.9x * 5) = 2(x + 4) (-15 + 14.5x) = 2(x + 4) Reorder the terms: -15 + 14.5x = 2(4 + x) -15 + 14.5x = (4 * 2 + x * 2) -15 + 14.5x = (8 + 2x) Solving -15 + 14.5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 14.5x + -2x = 8 + 2x + -2x Combine like terms: 14.5x + -2x = 12.5x -15 + 12.5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 12.5x = 8 + 0 -15 + 12.5x = 8 Add '15' to each side of the equation. -15 + 15 + 12.5x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 12.5x = 8 + 15 12.5x = 8 + 15 Combine like terms: 8 + 15 = 23 12.5x = 23 Divide each side by '12.5'. x = 1.84 Simplifying x = 1.84
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